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Finding the Fourth Proportional to 21,702.75, 32,542.40 and 11,712.87

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Solution

The fourth proportional to 21,702.75, 32,542.40 and 11,712.87 is: 17,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.75 : 32,542.40 = 11,712.87 : x
  2. Step 2: Convert to fraction form
    21,702.75/32,542.40 = 11,712.87/x
  3. Step 3: Cross multiply
    21,702.75x = 32,542.40 × 11,712.87
  4. Step 4: Simplify right side
    21,702.75x = 381,164,842.12
  5. Step 5: Solve for x
    x = 381,164,842.12/21,702.75
  6. Step 6: Final answer
    x = 17,562.97

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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.