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Finding the Fourth Proportional to 14,758.88, 22,151.13 and 7,743.87

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Solution

The fourth proportional to 14,758.88, 22,151.13 and 7,743.87 is: 11,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,758.88 : 22,151.13 = 7,743.87 : x
  2. Step 2: Convert to fraction form
    14,758.88/22,151.13 = 7,743.87/x
  3. Step 3: Cross multiply
    14,758.88x = 22,151.13 × 7,743.87
  4. Step 4: Simplify right side
    14,758.88x = 171,535,471.07
  5. Step 5: Solve for x
    x = 171,535,471.07/14,758.88
  6. Step 6: Final answer
    x = 11,622.53

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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.