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Finding the Fourth Proportional to 17,766.20, 26,598.10 and 10,854.20

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Solution

The fourth proportional to 17,766.20, 26,598.10 and 10,854.20 is: 16,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.20 : 26,598.10 = 10,854.20 : x
  2. Step 2: Convert to fraction form
    17,766.20/26,598.10 = 10,854.20/x
  3. Step 3: Cross multiply
    17,766.20x = 26,598.10 × 10,854.20
  4. Step 4: Simplify right side
    17,766.20x = 288,701,097.02
  5. Step 5: Solve for x
    x = 288,701,097.02/17,766.20
  6. Step 6: Final answer
    x = 16,250.02

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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.