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Finding the Fourth Proportional to 22,734.60, 34,080.02 and 11,646.52

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Solution

The fourth proportional to 22,734.60, 34,080.02 and 11,646.52 is: 17,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,734.60 : 34,080.02 = 11,646.52 : x
  2. Step 2: Convert to fraction form
    22,734.60/34,080.02 = 11,646.52/x
  3. Step 3: Cross multiply
    22,734.60x = 34,080.02 × 11,646.52
  4. Step 4: Simplify right side
    22,734.60x = 396,913,634.53
  5. Step 5: Solve for x
    x = 396,913,634.53/22,734.60
  6. Step 6: Final answer
    x = 17,458.57

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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.