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Finding the Fourth Proportional to 12,942.18, 19,412.06 and 4,177.17

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Solution

The fourth proportional to 12,942.18, 19,412.06 and 4,177.17 is: 6,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.18 : 19,412.06 = 4,177.17 : x
  2. Step 2: Convert to fraction form
    12,942.18/19,412.06 = 4,177.17/x
  3. Step 3: Cross multiply
    12,942.18x = 19,412.06 × 4,177.17
  4. Step 4: Simplify right side
    12,942.18x = 81,087,453.78
  5. Step 5: Solve for x
    x = 81,087,453.78/12,942.18
  6. Step 6: Final answer
    x = 6,265.36

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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.