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Finding the Fourth Proportional to 16,642.32, 24,963.06 and 6,781.56

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Solution

The fourth proportional to 16,642.32, 24,963.06 and 6,781.56 is: 10,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.32 : 24,963.06 = 6,781.56 : x
  2. Step 2: Convert to fraction form
    16,642.32/24,963.06 = 6,781.56/x
  3. Step 3: Cross multiply
    16,642.32x = 24,963.06 × 6,781.56
  4. Step 4: Simplify right side
    16,642.32x = 169,288,489.17
  5. Step 5: Solve for x
    x = 169,288,489.17/16,642.32
  6. Step 6: Final answer
    x = 10,172.17

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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.