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Finding the Fourth Proportional to 22,663.87, 34,007.42 and 9,347.09

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Solution

The fourth proportional to 22,663.87, 34,007.42 and 9,347.09 is: 14,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.87 : 34,007.42 = 9,347.09 : x
  2. Step 2: Convert to fraction form
    22,663.87/34,007.42 = 9,347.09/x
  3. Step 3: Cross multiply
    22,663.87x = 34,007.42 × 9,347.09
  4. Step 4: Simplify right side
    22,663.87x = 317,870,268.74
  5. Step 5: Solve for x
    x = 317,870,268.74/22,663.87
  6. Step 6: Final answer
    x = 14,025.42

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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.