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Finding the Fourth Proportional to 16,542, 24,806.88 and 5,445.48

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Solution

The fourth proportional to 16,542, 24,806.88 and 5,445.48 is: 8,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542 : 24,806.88 = 5,445.48 : x
  2. Step 2: Convert to fraction form
    16,542/24,806.88 = 5,445.48/x
  3. Step 3: Cross multiply
    16,542x = 24,806.88 × 5,445.48
  4. Step 4: Simplify right side
    16,542x = 135,085,368.90
  5. Step 5: Solve for x
    x = 135,085,368.90/16,542
  6. Step 6: Final answer
    x = 8,166.21

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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.