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Finding the Fourth Proportional to 12,138.81, 18,210.30 and 5,565.56

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Solution

The fourth proportional to 12,138.81, 18,210.30 and 5,565.56 is: 8,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.81 : 18,210.30 = 5,565.56 : x
  2. Step 2: Convert to fraction form
    12,138.81/18,210.30 = 5,565.56/x
  3. Step 3: Cross multiply
    12,138.81x = 18,210.30 × 5,565.56
  4. Step 4: Simplify right side
    12,138.81x = 101,350,489.44
  5. Step 5: Solve for x
    x = 101,350,489.44/12,138.81
  6. Step 6: Final answer
    x = 8,349.29

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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.