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Finding the Fourth Proportional to 14,973.50, 22,446.66 and 9,410

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Solution

The fourth proportional to 14,973.50, 22,446.66 and 9,410 is: 14,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,973.50 : 22,446.66 = 9,410 : x
  2. Step 2: Convert to fraction form
    14,973.50/22,446.66 = 9,410/x
  3. Step 3: Cross multiply
    14,973.50x = 22,446.66 × 9,410
  4. Step 4: Simplify right side
    14,973.50x = 211,223,070.60
  5. Step 5: Solve for x
    x = 211,223,070.60/14,973.50
  6. Step 6: Final answer
    x = 14,106.46

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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.