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Finding the Fourth Proportional to 16,182.43, 24,279.49 and 5,654

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Solution

The fourth proportional to 16,182.43, 24,279.49 and 5,654 is: 8,483.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.43 : 24,279.49 = 5,654 : x
  2. Step 2: Convert to fraction form
    16,182.43/24,279.49 = 5,654/x
  3. Step 3: Cross multiply
    16,182.43x = 24,279.49 × 5,654
  4. Step 4: Simplify right side
    16,182.43x = 137,276,208.19
  5. Step 5: Solve for x
    x = 137,276,208.19/16,182.43
  6. Step 6: Final answer
    x = 8,483.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.