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Finding the Fourth Proportional to 12,679.13, 19,024.17 and 6,834.38

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Solution

The fourth proportional to 12,679.13, 19,024.17 and 6,834.38 is: 10,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.13 : 19,024.17 = 6,834.38 : x
  2. Step 2: Convert to fraction form
    12,679.13/19,024.17 = 6,834.38/x
  3. Step 3: Cross multiply
    12,679.13x = 19,024.17 × 6,834.38
  4. Step 4: Simplify right side
    12,679.13x = 130,018,286.21
  5. Step 5: Solve for x
    x = 130,018,286.21/12,679.13
  6. Step 6: Final answer
    x = 10,254.51

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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.