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Finding the Fourth Proportional to 25,775.49, 38,652.30 and 9,139.71

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Solution

The fourth proportional to 25,775.49, 38,652.30 and 9,139.71 is: 13,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,775.49 : 38,652.30 = 9,139.71 : x
  2. Step 2: Convert to fraction form
    25,775.49/38,652.30 = 9,139.71/x
  3. Step 3: Cross multiply
    25,775.49x = 38,652.30 × 9,139.71
  4. Step 4: Simplify right side
    25,775.49x = 353,270,812.83
  5. Step 5: Solve for x
    x = 353,270,812.83/25,775.49
  6. Step 6: Final answer
    x = 13,705.69

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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.