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Finding the Fourth Proportional to 15,319.43, 22,946.83 and 7,006.43

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Solution

The fourth proportional to 15,319.43, 22,946.83 and 7,006.43 is: 10,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319.43 : 22,946.83 = 7,006.43 : x
  2. Step 2: Convert to fraction form
    15,319.43/22,946.83 = 7,006.43/x
  3. Step 3: Cross multiply
    15,319.43x = 22,946.83 × 7,006.43
  4. Step 4: Simplify right side
    15,319.43x = 160,775,397.97
  5. Step 5: Solve for x
    x = 160,775,397.97/15,319.43
  6. Step 6: Final answer
    x = 10,494.87

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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.