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Finding the Fourth Proportional to 25,497.52, 38,223.24 and 9,077.68

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Solution

The fourth proportional to 25,497.52, 38,223.24 and 9,077.68 is: 13,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.52 : 38,223.24 = 9,077.68 : x
  2. Step 2: Convert to fraction form
    25,497.52/38,223.24 = 9,077.68/x
  3. Step 3: Cross multiply
    25,497.52x = 38,223.24 × 9,077.68
  4. Step 4: Simplify right side
    25,497.52x = 346,978,341.28
  5. Step 5: Solve for x
    x = 346,978,341.28/25,497.52
  6. Step 6: Final answer
    x = 13,608.32

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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.