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Finding the Fourth Proportional to 12,263.50, 18,397.97 and 4,472.31

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Solution

The fourth proportional to 12,263.50, 18,397.97 and 4,472.31 is: 6,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.50 : 18,397.97 = 4,472.31 : x
  2. Step 2: Convert to fraction form
    12,263.50/18,397.97 = 4,472.31/x
  3. Step 3: Cross multiply
    12,263.50x = 18,397.97 × 4,472.31
  4. Step 4: Simplify right side
    12,263.50x = 82,281,488.61
  5. Step 5: Solve for x
    x = 82,281,488.61/12,263.50
  6. Step 6: Final answer
    x = 6,709.46

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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.