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Finding the Fourth Proportional to 21,592.47, 32,407.17 and 8,454.07

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Solution

The fourth proportional to 21,592.47, 32,407.17 and 8,454.07 is: 12,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,592.47 : 32,407.17 = 8,454.07 : x
  2. Step 2: Convert to fraction form
    21,592.47/32,407.17 = 8,454.07/x
  3. Step 3: Cross multiply
    21,592.47x = 32,407.17 × 8,454.07
  4. Step 4: Simplify right side
    21,592.47x = 273,972,279.38
  5. Step 5: Solve for x
    x = 273,972,279.38/21,592.47
  6. Step 6: Final answer
    x = 12,688.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.