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Finding the Fourth Proportional to 21,061.96, 31,592.94 and 14,468.15

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Solution

The fourth proportional to 21,061.96, 31,592.94 and 14,468.15 is: 21,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,061.96 : 31,592.94 = 14,468.15 : x
  2. Step 2: Convert to fraction form
    21,061.96/31,592.94 = 14,468.15/x
  3. Step 3: Cross multiply
    21,061.96x = 31,592.94 × 14,468.15
  4. Step 4: Simplify right side
    21,061.96x = 457,091,419.59
  5. Step 5: Solve for x
    x = 457,091,419.59/21,061.96
  6. Step 6: Final answer
    x = 21,702.23

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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.