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Finding the Fourth Proportional to 12,377.30, 18,568.67 and 6,140.70

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Solution

The fourth proportional to 12,377.30, 18,568.67 and 6,140.70 is: 9,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.30 : 18,568.67 = 6,140.70 : x
  2. Step 2: Convert to fraction form
    12,377.30/18,568.67 = 6,140.70/x
  3. Step 3: Cross multiply
    12,377.30x = 18,568.67 × 6,140.70
  4. Step 4: Simplify right side
    12,377.30x = 114,024,601.17
  5. Step 5: Solve for x
    x = 114,024,601.17/12,377.30
  6. Step 6: Final answer
    x = 9,212.40

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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.