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Finding the Fourth Proportional to 10,441,797.30, 15,662,695.95 and 9,733,209.30

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Solution

The fourth proportional to 10,441,797.30, 15,662,695.95 and 9,733,209.30 is: 14,599,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441,797.30 : 15,662,695.95 = 9,733,209.30 : x
  2. Step 2: Convert to fraction form
    10,441,797.30/15,662,695.95 = 9,733,209.30/x
  3. Step 3: Cross multiply
    10,441,797.30x = 15,662,695.95 × 9,733,209.30
  4. Step 4: Simplify right side
    10,441,797.30x = 152,448,297,883,612.34
  5. Step 5: Solve for x
    x = 152,448,297,883,612.34/10,441,797.30
  6. Step 6: Final answer
    x = 14,599,813.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.