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Finding the Fourth Proportional to 12,139.12, 16,753.58 and 6,834.97

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Solution

The fourth proportional to 12,139.12, 16,753.58 and 6,834.97 is: 9,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.12 : 16,753.58 = 6,834.97 : x
  2. Step 2: Convert to fraction form
    12,139.12/16,753.58 = 6,834.97/x
  3. Step 3: Cross multiply
    12,139.12x = 16,753.58 × 6,834.97
  4. Step 4: Simplify right side
    12,139.12x = 114,510,216.69
  5. Step 5: Solve for x
    x = 114,510,216.69/12,139.12
  6. Step 6: Final answer
    x = 9,433.16

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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.