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Finding the Fourth Proportional to 15,140.39, 20,883.98 and 9,769.68

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Solution

The fourth proportional to 15,140.39, 20,883.98 and 9,769.68 is: 13,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.39 : 20,883.98 = 9,769.68 : x
  2. Step 2: Convert to fraction form
    15,140.39/20,883.98 = 9,769.68/x
  3. Step 3: Cross multiply
    15,140.39x = 20,883.98 × 9,769.68
  4. Step 4: Simplify right side
    15,140.39x = 204,029,826.15
  5. Step 5: Solve for x
    x = 204,029,826.15/15,140.39
  6. Step 6: Final answer
    x = 13,475.87

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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.