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Finding the Fourth Proportional to 25,882.80, 35,732.16 and 17,398.56

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Solution

The fourth proportional to 25,882.80, 35,732.16 and 17,398.56 is: 24,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.80 : 35,732.16 = 17,398.56 : x
  2. Step 2: Convert to fraction form
    25,882.80/35,732.16 = 17,398.56/x
  3. Step 3: Cross multiply
    25,882.80x = 35,732.16 × 17,398.56
  4. Step 4: Simplify right side
    25,882.80x = 621,688,129.69
  5. Step 5: Solve for x
    x = 621,688,129.69/25,882.80
  6. Step 6: Final answer
    x = 24,019.35

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