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Finding the Fourth Proportional to 12,523.65, 18,785.39 and 5,128.11

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Solution

The fourth proportional to 12,523.65, 18,785.39 and 5,128.11 is: 7,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.65 : 18,785.39 = 5,128.11 : x
  2. Step 2: Convert to fraction form
    12,523.65/18,785.39 = 5,128.11/x
  3. Step 3: Cross multiply
    12,523.65x = 18,785.39 × 5,128.11
  4. Step 4: Simplify right side
    12,523.65x = 96,333,520.67
  5. Step 5: Solve for x
    x = 96,333,520.67/12,523.65
  6. Step 6: Final answer
    x = 7,692.13

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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.