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Finding the Fourth Proportional to 25,546.80, 38,317.92 and 8,904

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Solution

The fourth proportional to 25,546.80, 38,317.92 and 8,904 is: 13,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,546.80 : 38,317.92 = 8,904 : x
  2. Step 2: Convert to fraction form
    25,546.80/38,317.92 = 8,904/x
  3. Step 3: Cross multiply
    25,546.80x = 38,317.92 × 8,904
  4. Step 4: Simplify right side
    25,546.80x = 341,182,759.68
  5. Step 5: Solve for x
    x = 341,182,759.68/25,546.80
  6. Step 6: Final answer
    x = 13,355.21

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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.