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Finding the Fourth Proportional to 25,637.88, 38,451.06 and 9,221.88

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Solution

The fourth proportional to 25,637.88, 38,451.06 and 9,221.88 is: 13,830.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,637.88 : 38,451.06 = 9,221.88 : x
  2. Step 2: Convert to fraction form
    25,637.88/38,451.06 = 9,221.88/x
  3. Step 3: Cross multiply
    25,637.88x = 38,451.06 × 9,221.88
  4. Step 4: Simplify right side
    25,637.88x = 354,591,061.19
  5. Step 5: Solve for x
    x = 354,591,061.19/25,637.88
  6. Step 6: Final answer
    x = 13,830.75

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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.