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Finding the Fourth Proportional to 12,711.09, 19,072.08 and 6,142.17

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Solution

The fourth proportional to 12,711.09, 19,072.08 and 6,142.17 is: 9,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.09 : 19,072.08 = 6,142.17 : x
  2. Step 2: Convert to fraction form
    12,711.09/19,072.08 = 6,142.17/x
  3. Step 3: Cross multiply
    12,711.09x = 19,072.08 × 6,142.17
  4. Step 4: Simplify right side
    12,711.09x = 117,143,957.61
  5. Step 5: Solve for x
    x = 117,143,957.61/12,711.09
  6. Step 6: Final answer
    x = 9,215.89

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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.