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Finding the Fourth Proportional to 25,721.59, 38,585.49 and 9,078.22

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Solution

The fourth proportional to 25,721.59, 38,585.49 and 9,078.22 is: 13,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,721.59 : 38,585.49 = 9,078.22 : x
  2. Step 2: Convert to fraction form
    25,721.59/38,585.49 = 9,078.22/x
  3. Step 3: Cross multiply
    25,721.59x = 38,585.49 × 9,078.22
  4. Step 4: Simplify right side
    25,721.59x = 350,287,567.03
  5. Step 5: Solve for x
    x = 350,287,567.03/25,721.59
  6. Step 6: Final answer
    x = 13,618.43

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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.