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Finding the Fourth Proportional to 12,139.11, 16,752.29 and 6,834.12

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Solution

The fourth proportional to 12,139.11, 16,752.29 and 6,834.12 is: 9,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.11 : 16,752.29 = 6,834.12 : x
  2. Step 2: Convert to fraction form
    12,139.11/16,752.29 = 6,834.12/x
  3. Step 3: Cross multiply
    12,139.11x = 16,752.29 × 6,834.12
  4. Step 4: Simplify right side
    12,139.11x = 114,487,063.14
  5. Step 5: Solve for x
    x = 114,487,063.14/12,139.11
  6. Step 6: Final answer
    x = 9,431.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.