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Finding the Fourth Proportional to 21,710.43, 32,543.54 and 9,872.61

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Solution

The fourth proportional to 21,710.43, 32,543.54 and 9,872.61 is: 14,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.43 : 32,543.54 = 9,872.61 : x
  2. Step 2: Convert to fraction form
    21,710.43/32,543.54 = 9,872.61/x
  3. Step 3: Cross multiply
    21,710.43x = 32,543.54 × 9,872.61
  4. Step 4: Simplify right side
    21,710.43x = 321,289,678.44
  5. Step 5: Solve for x
    x = 321,289,678.44/21,710.43
  6. Step 6: Final answer
    x = 14,798.86

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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.