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Finding the Fourth Proportional to 25,771.84, 38,705.28 and 15,935.20

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Solution

The fourth proportional to 25,771.84, 38,705.28 and 15,935.20 is: 23,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,771.84 : 38,705.28 = 15,935.20 : x
  2. Step 2: Convert to fraction form
    25,771.84/38,705.28 = 15,935.20/x
  3. Step 3: Cross multiply
    25,771.84x = 38,705.28 × 15,935.20
  4. Step 4: Simplify right side
    25,771.84x = 616,776,377.86
  5. Step 5: Solve for x
    x = 616,776,377.86/25,771.84
  6. Step 6: Final answer
    x = 23,932.18

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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.