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Finding the Fourth Proportional to 15,654.72, 23,469.12 and 7,872.24

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Solution

The fourth proportional to 15,654.72, 23,469.12 and 7,872.24 is: 11,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,654.72 : 23,469.12 = 7,872.24 : x
  2. Step 2: Convert to fraction form
    15,654.72/23,469.12 = 7,872.24/x
  3. Step 3: Cross multiply
    15,654.72x = 23,469.12 × 7,872.24
  4. Step 4: Simplify right side
    15,654.72x = 184,754,545.23
  5. Step 5: Solve for x
    x = 184,754,545.23/15,654.72
  6. Step 6: Final answer
    x = 11,801.84

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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.