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Finding the Fourth Proportional to 12,535.97, 18,799.10 and 6,689.39

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Solution

The fourth proportional to 12,535.97, 18,799.10 and 6,689.39 is: 10,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.97 : 18,799.10 = 6,689.39 : x
  2. Step 2: Convert to fraction form
    12,535.97/18,799.10 = 6,689.39/x
  3. Step 3: Cross multiply
    12,535.97x = 18,799.10 × 6,689.39
  4. Step 4: Simplify right side
    12,535.97x = 125,754,478.10
  5. Step 5: Solve for x
    x = 125,754,478.10/12,535.97
  6. Step 6: Final answer
    x = 10,031.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.