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Finding the Fourth Proportional to 25,504.52, 38,233.74 and 9,084.68

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Solution

The fourth proportional to 25,504.52, 38,233.74 and 9,084.68 is: 13,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,504.52 : 38,233.74 = 9,084.68 : x
  2. Step 2: Convert to fraction form
    25,504.52/38,233.74 = 9,084.68/x
  3. Step 3: Cross multiply
    25,504.52x = 38,233.74 × 9,084.68
  4. Step 4: Simplify right side
    25,504.52x = 347,341,293.10
  5. Step 5: Solve for x
    x = 347,341,293.10/25,504.52
  6. Step 6: Final answer
    x = 13,618.81

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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.