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Finding the Fourth Proportional to 21,715.41, 32,572.51 and 9,229.17

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Solution

The fourth proportional to 21,715.41, 32,572.51 and 9,229.17 is: 13,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,715.41 : 32,572.51 = 9,229.17 : x
  2. Step 2: Convert to fraction form
    21,715.41/32,572.51 = 9,229.17/x
  3. Step 3: Cross multiply
    21,715.41x = 32,572.51 × 9,229.17
  4. Step 4: Simplify right side
    21,715.41x = 300,617,209.04
  5. Step 5: Solve for x
    x = 300,617,209.04/21,715.41
  6. Step 6: Final answer
    x = 13,843.50

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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.