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Finding the Fourth Proportional to 16,614.18, 24,914.25 and 6,746.49

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Solution

The fourth proportional to 16,614.18, 24,914.25 and 6,746.49 is: 10,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,614.18 : 24,914.25 = 6,746.49 : x
  2. Step 2: Convert to fraction form
    16,614.18/24,914.25 = 6,746.49/x
  3. Step 3: Cross multiply
    16,614.18x = 24,914.25 × 6,746.49
  4. Step 4: Simplify right side
    16,614.18x = 168,083,738.48
  5. Step 5: Solve for x
    x = 168,083,738.48/16,614.18
  6. Step 6: Final answer
    x = 10,116.88

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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.