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Finding the Fourth Proportional to 25,665.87, 38,502.32 and 9,022.09

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Solution

The fourth proportional to 25,665.87, 38,502.32 and 9,022.09 is: 13,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,665.87 : 38,502.32 = 9,022.09 : x
  2. Step 2: Convert to fraction form
    25,665.87/38,502.32 = 9,022.09/x
  3. Step 3: Cross multiply
    25,665.87x = 38,502.32 × 9,022.09
  4. Step 4: Simplify right side
    25,665.87x = 347,371,396.25
  5. Step 5: Solve for x
    x = 347,371,396.25/25,665.87
  6. Step 6: Final answer
    x = 13,534.37

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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.