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Finding the Fourth Proportional to 12,523.71, 18,785.55 and 3,758.64

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Solution

The fourth proportional to 12,523.71, 18,785.55 and 3,758.64 is: 5,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.71 : 18,785.55 = 3,758.64 : x
  2. Step 2: Convert to fraction form
    12,523.71/18,785.55 = 3,758.64/x
  3. Step 3: Cross multiply
    12,523.71x = 18,785.55 × 3,758.64
  4. Step 4: Simplify right side
    12,523.71x = 70,608,119.65
  5. Step 5: Solve for x
    x = 70,608,119.65/12,523.71
  6. Step 6: Final answer
    x = 5,637.96

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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.