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Finding the Fourth Proportional to 12,138.37, 18,209.63 and 5,565.12

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Solution

The fourth proportional to 12,138.37, 18,209.63 and 5,565.12 is: 8,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.37 : 18,209.63 = 5,565.12 : x
  2. Step 2: Convert to fraction form
    12,138.37/18,209.63 = 5,565.12/x
  3. Step 3: Cross multiply
    12,138.37x = 18,209.63 × 5,565.12
  4. Step 4: Simplify right side
    12,138.37x = 101,338,776.11
  5. Step 5: Solve for x
    x = 101,338,776.11/12,138.37
  6. Step 6: Final answer
    x = 8,348.63

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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.