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Finding the Fourth Proportional to 12,930.34, 19,395.57 and 5,139.17

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Solution

The fourth proportional to 12,930.34, 19,395.57 and 5,139.17 is: 7,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.34 : 19,395.57 = 5,139.17 : x
  2. Step 2: Convert to fraction form
    12,930.34/19,395.57 = 5,139.17/x
  3. Step 3: Cross multiply
    12,930.34x = 19,395.57 × 5,139.17
  4. Step 4: Simplify right side
    12,930.34x = 99,677,131.48
  5. Step 5: Solve for x
    x = 99,677,131.48/12,930.34
  6. Step 6: Final answer
    x = 7,708.78

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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.