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Finding the Fourth Proportional to 22,665.78, 34,001.14 and 9,524.34

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Solution

The fourth proportional to 22,665.78, 34,001.14 and 9,524.34 is: 14,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.78 : 34,001.14 = 9,524.34 : x
  2. Step 2: Convert to fraction form
    22,665.78/34,001.14 = 9,524.34/x
  3. Step 3: Cross multiply
    22,665.78x = 34,001.14 × 9,524.34
  4. Step 4: Simplify right side
    22,665.78x = 323,838,417.75
  5. Step 5: Solve for x
    x = 323,838,417.75/22,665.78
  6. Step 6: Final answer
    x = 14,287.55

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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.