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Finding the Fourth Proportional to 12,679.38, 19,006.29 and 6,102

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Solution

The fourth proportional to 12,679.38, 19,006.29 and 6,102 is: 9,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.38 : 19,006.29 = 6,102 : x
  2. Step 2: Convert to fraction form
    12,679.38/19,006.29 = 6,102/x
  3. Step 3: Cross multiply
    12,679.38x = 19,006.29 × 6,102
  4. Step 4: Simplify right side
    12,679.38x = 115,976,381.58
  5. Step 5: Solve for x
    x = 115,976,381.58/12,679.38
  6. Step 6: Final answer
    x = 9,146.85

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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.