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Finding the Fourth Proportional to 25,685.10, 38,527.65 and 7,217.10

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Solution

The fourth proportional to 25,685.10, 38,527.65 and 7,217.10 is: 10,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685.10 : 38,527.65 = 7,217.10 : x
  2. Step 2: Convert to fraction form
    25,685.10/38,527.65 = 7,217.10/x
  3. Step 3: Cross multiply
    25,685.10x = 38,527.65 × 7,217.10
  4. Step 4: Simplify right side
    25,685.10x = 278,057,902.82
  5. Step 5: Solve for x
    x = 278,057,902.82/25,685.10
  6. Step 6: Final answer
    x = 10,825.65

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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.