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Finding the Fourth Proportional to 23,470.38, 32,389.13 and 14,041.17

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Solution

The fourth proportional to 23,470.38, 32,389.13 and 14,041.17 is: 19,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470.38 : 32,389.13 = 14,041.17 : x
  2. Step 2: Convert to fraction form
    23,470.38/32,389.13 = 14,041.17/x
  3. Step 3: Cross multiply
    23,470.38x = 32,389.13 × 14,041.17
  4. Step 4: Simplify right side
    23,470.38x = 454,781,280.48
  5. Step 5: Solve for x
    x = 454,781,280.48/23,470.38
  6. Step 6: Final answer
    x = 19,376.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.