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Finding the Fourth Proportional to 12,691.46, 19,023.02 and 5,293.46

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Solution

The fourth proportional to 12,691.46, 19,023.02 and 5,293.46 is: 7,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.46 : 19,023.02 = 5,293.46 : x
  2. Step 2: Convert to fraction form
    12,691.46/19,023.02 = 5,293.46/x
  3. Step 3: Cross multiply
    12,691.46x = 19,023.02 × 5,293.46
  4. Step 4: Simplify right side
    12,691.46x = 100,697,513.57
  5. Step 5: Solve for x
    x = 100,697,513.57/12,691.46
  6. Step 6: Final answer
    x = 7,934.28

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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.