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Finding the Fourth Proportional to 13,223.38, 18,247.78 and 7,254.92

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Solution

The fourth proportional to 13,223.38, 18,247.78 and 7,254.92 is: 10,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.38 : 18,247.78 = 7,254.92 : x
  2. Step 2: Convert to fraction form
    13,223.38/18,247.78 = 7,254.92/x
  3. Step 3: Cross multiply
    13,223.38x = 18,247.78 × 7,254.92
  4. Step 4: Simplify right side
    13,223.38x = 132,386,136.12
  5. Step 5: Solve for x
    x = 132,386,136.12/13,223.38
  6. Step 6: Final answer
    x = 10,011.52

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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.