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Finding the Fourth Proportional to 15,007.46, 20,711.54 and 8,294.39

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Solution

The fourth proportional to 15,007.46, 20,711.54 and 8,294.39 is: 11,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,007.46 : 20,711.54 = 8,294.39 : x
  2. Step 2: Convert to fraction form
    15,007.46/20,711.54 = 8,294.39/x
  3. Step 3: Cross multiply
    15,007.46x = 20,711.54 × 8,294.39
  4. Step 4: Simplify right side
    15,007.46x = 171,789,600.57
  5. Step 5: Solve for x
    x = 171,789,600.57/15,007.46
  6. Step 6: Final answer
    x = 11,446.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.