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Finding the Fourth Proportional to 16,346.30, 24,549.15 and 9,785.30

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Solution

The fourth proportional to 16,346.30, 24,549.15 and 9,785.30 is: 14,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346.30 : 24,549.15 = 9,785.30 : x
  2. Step 2: Convert to fraction form
    16,346.30/24,549.15 = 9,785.30/x
  3. Step 3: Cross multiply
    16,346.30x = 24,549.15 × 9,785.30
  4. Step 4: Simplify right side
    16,346.30x = 240,220,797.50
  5. Step 5: Solve for x
    x = 240,220,797.50/16,346.30
  6. Step 6: Final answer
    x = 14,695.73

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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.