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Finding the Fourth Proportional to 21,781.52, 30,045.70 and 13,702.32

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Solution

The fourth proportional to 21,781.52, 30,045.70 and 13,702.32 is: 18,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.52 : 30,045.70 = 13,702.32 : x
  2. Step 2: Convert to fraction form
    21,781.52/30,045.70 = 13,702.32/x
  3. Step 3: Cross multiply
    21,781.52x = 30,045.70 × 13,702.32
  4. Step 4: Simplify right side
    21,781.52x = 411,695,796.02
  5. Step 5: Solve for x
    x = 411,695,796.02/21,781.52
  6. Step 6: Final answer
    x = 18,901.15

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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.