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Finding the Fourth Proportional to 25,747.60, 38,621.40 and 9,126.40

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Solution

The fourth proportional to 25,747.60, 38,621.40 and 9,126.40 is: 13,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,747.60 : 38,621.40 = 9,126.40 : x
  2. Step 2: Convert to fraction form
    25,747.60/38,621.40 = 9,126.40/x
  3. Step 3: Cross multiply
    25,747.60x = 38,621.40 × 9,126.40
  4. Step 4: Simplify right side
    25,747.60x = 352,474,344.96
  5. Step 5: Solve for x
    x = 352,474,344.96/25,747.60
  6. Step 6: Final answer
    x = 13,689.60

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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.