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Finding the Fourth Proportional to 12,758.76, 19,141.17 and 6,177.24

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Solution

The fourth proportional to 12,758.76, 19,141.17 and 6,177.24 is: 9,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.76 : 19,141.17 = 6,177.24 : x
  2. Step 2: Convert to fraction form
    12,758.76/19,141.17 = 6,177.24/x
  3. Step 3: Cross multiply
    12,758.76x = 19,141.17 × 6,177.24
  4. Step 4: Simplify right side
    12,758.76x = 118,239,600.97
  5. Step 5: Solve for x
    x = 118,239,600.97/12,758.76
  6. Step 6: Final answer
    x = 9,267.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.