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Finding the Fourth Proportional to 12,317.28, 18,475.56 and 4,524

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Solution

The fourth proportional to 12,317.28, 18,475.56 and 4,524 is: 6,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.28 : 18,475.56 = 4,524 : x
  2. Step 2: Convert to fraction form
    12,317.28/18,475.56 = 4,524/x
  3. Step 3: Cross multiply
    12,317.28x = 18,475.56 × 4,524
  4. Step 4: Simplify right side
    12,317.28x = 83,583,433.44
  5. Step 5: Solve for x
    x = 83,583,433.44/12,317.28
  6. Step 6: Final answer
    x = 6,785.87

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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.