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Finding the Fourth Proportional to 17,536.92, 26,298.90 and 7,143

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Solution

The fourth proportional to 17,536.92, 26,298.90 and 7,143 is: 10,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.92 : 26,298.90 = 7,143 : x
  2. Step 2: Convert to fraction form
    17,536.92/26,298.90 = 7,143/x
  3. Step 3: Cross multiply
    17,536.92x = 26,298.90 × 7,143
  4. Step 4: Simplify right side
    17,536.92x = 187,853,042.70
  5. Step 5: Solve for x
    x = 187,853,042.70/17,536.92
  6. Step 6: Final answer
    x = 10,711.86

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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.