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Finding the Fourth Proportional to 25,882.92, 35,710.20 and 15,122.88

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Solution

The fourth proportional to 25,882.92, 35,710.20 and 15,122.88 is: 20,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.92 : 35,710.20 = 15,122.88 : x
  2. Step 2: Convert to fraction form
    25,882.92/35,710.20 = 15,122.88/x
  3. Step 3: Cross multiply
    25,882.92x = 35,710.20 × 15,122.88
  4. Step 4: Simplify right side
    25,882.92x = 540,041,069.38
  5. Step 5: Solve for x
    x = 540,041,069.38/25,882.92
  6. Step 6: Final answer
    x = 20,864.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.