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Finding the Fourth Proportional to 25,900.20, 38,854.59 and 9,255.78

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Solution

The fourth proportional to 25,900.20, 38,854.59 and 9,255.78 is: 13,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900.20 : 38,854.59 = 9,255.78 : x
  2. Step 2: Convert to fraction form
    25,900.20/38,854.59 = 9,255.78/x
  3. Step 3: Cross multiply
    25,900.20x = 38,854.59 × 9,255.78
  4. Step 4: Simplify right side
    25,900.20x = 359,629,537.03
  5. Step 5: Solve for x
    x = 359,629,537.03/25,900.20
  6. Step 6: Final answer
    x = 13,885.20

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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.