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Finding the Fourth Proportional to 19,821.72, 29,711.04 and 9,285.18

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Solution

The fourth proportional to 19,821.72, 29,711.04 and 9,285.18 is: 13,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821.72 : 29,711.04 = 9,285.18 : x
  2. Step 2: Convert to fraction form
    19,821.72/29,711.04 = 9,285.18/x
  3. Step 3: Cross multiply
    19,821.72x = 29,711.04 × 9,285.18
  4. Step 4: Simplify right side
    19,821.72x = 275,872,354.39
  5. Step 5: Solve for x
    x = 275,872,354.39/19,821.72
  6. Step 6: Final answer
    x = 13,917.68

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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.