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Finding the Fourth Proportional to 25,870, 35,710.36 and 15,118.38

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Solution

The fourth proportional to 25,870, 35,710.36 and 15,118.38 is: 20,869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,870 : 35,710.36 = 15,118.38 : x
  2. Step 2: Convert to fraction form
    25,870/35,710.36 = 15,118.38/x
  3. Step 3: Cross multiply
    25,870x = 35,710.36 × 15,118.38
  4. Step 4: Simplify right side
    25,870x = 539,882,792.42
  5. Step 5: Solve for x
    x = 539,882,792.42/25,870
  6. Step 6: Final answer
    x = 20,869.07

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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.