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Finding the Fourth Proportional to 12,139.85, 16,754.28 and 7,105.70

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Solution

The fourth proportional to 12,139.85, 16,754.28 and 7,105.70 is: 9,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.85 : 16,754.28 = 7,105.70 : x
  2. Step 2: Convert to fraction form
    12,139.85/16,754.28 = 7,105.70/x
  3. Step 3: Cross multiply
    12,139.85x = 16,754.28 × 7,105.70
  4. Step 4: Simplify right side
    12,139.85x = 119,050,902.64
  5. Step 5: Solve for x
    x = 119,050,902.64/12,139.85
  6. Step 6: Final answer
    x = 9,806.62

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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.