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Finding the Fourth Proportional to 15,782.32, 23,654.65 and 7,337.42

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Solution

The fourth proportional to 15,782.32, 23,654.65 and 7,337.42 is: 10,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.32 : 23,654.65 = 7,337.42 : x
  2. Step 2: Convert to fraction form
    15,782.32/23,654.65 = 7,337.42/x
  3. Step 3: Cross multiply
    15,782.32x = 23,654.65 × 7,337.42
  4. Step 4: Simplify right side
    15,782.32x = 173,564,136.69
  5. Step 5: Solve for x
    x = 173,564,136.69/15,782.32
  6. Step 6: Final answer
    x = 10,997.38

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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.