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Finding the Fourth Proportional to 21,702.38, 32,553.53 and 14,252.96

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Solution

The fourth proportional to 21,702.38, 32,553.53 and 14,252.96 is: 21,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.38 : 32,553.53 = 14,252.96 : x
  2. Step 2: Convert to fraction form
    21,702.38/32,553.53 = 14,252.96/x
  3. Step 3: Cross multiply
    21,702.38x = 32,553.53 × 14,252.96
  4. Step 4: Simplify right side
    21,702.38x = 463,984,224.52
  5. Step 5: Solve for x
    x = 463,984,224.52/21,702.38
  6. Step 6: Final answer
    x = 21,379.42

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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.