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Finding the Fourth Proportional to 17,854.68, 26,766.18 and 6,753.60

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Solution

The fourth proportional to 17,854.68, 26,766.18 and 6,753.60 is: 10,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.68 : 26,766.18 = 6,753.60 : x
  2. Step 2: Convert to fraction form
    17,854.68/26,766.18 = 6,753.60/x
  3. Step 3: Cross multiply
    17,854.68x = 26,766.18 × 6,753.60
  4. Step 4: Simplify right side
    17,854.68x = 180,768,073.25
  5. Step 5: Solve for x
    x = 180,768,073.25/17,854.68
  6. Step 6: Final answer
    x = 10,124.41

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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.