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Finding the Fourth Proportional to 16,354, 24,531.18 and 4,042

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Solution

The fourth proportional to 16,354, 24,531.18 and 4,042 is: 6,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354 : 24,531.18 = 4,042 : x
  2. Step 2: Convert to fraction form
    16,354/24,531.18 = 4,042/x
  3. Step 3: Cross multiply
    16,354x = 24,531.18 × 4,042
  4. Step 4: Simplify right side
    16,354x = 99,155,029.56
  5. Step 5: Solve for x
    x = 99,155,029.56/16,354
  6. Step 6: Final answer
    x = 6,063.04

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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.