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Finding the Fourth Proportional to 21,562.80, 32,344.22 and 9,702.74

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Solution

The fourth proportional to 21,562.80, 32,344.22 and 9,702.74 is: 14,554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,562.80 : 32,344.22 = 9,702.74 : x
  2. Step 2: Convert to fraction form
    21,562.80/32,344.22 = 9,702.74/x
  3. Step 3: Cross multiply
    21,562.80x = 32,344.22 × 9,702.74
  4. Step 4: Simplify right side
    21,562.80x = 313,827,557.16
  5. Step 5: Solve for x
    x = 313,827,557.16/21,562.80
  6. Step 6: Final answer
    x = 14,554.12

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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.