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Finding the Fourth Proportional to 15,646.13, 21,593.46 and 8,932.71

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Solution

The fourth proportional to 15,646.13, 21,593.46 and 8,932.71 is: 12,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.13 : 21,593.46 = 8,932.71 : x
  2. Step 2: Convert to fraction form
    15,646.13/21,593.46 = 8,932.71/x
  3. Step 3: Cross multiply
    15,646.13x = 21,593.46 × 8,932.71
  4. Step 4: Simplify right side
    15,646.13x = 192,888,116.08
  5. Step 5: Solve for x
    x = 192,888,116.08/15,646.13
  6. Step 6: Final answer
    x = 12,328.17

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