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Finding the Fourth Proportional to 12,027.42, 18,041.13 and 5,785.38

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Solution

The fourth proportional to 12,027.42, 18,041.13 and 5,785.38 is: 8,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.42 : 18,041.13 = 5,785.38 : x
  2. Step 2: Convert to fraction form
    12,027.42/18,041.13 = 5,785.38/x
  3. Step 3: Cross multiply
    12,027.42x = 18,041.13 × 5,785.38
  4. Step 4: Simplify right side
    12,027.42x = 104,374,792.68
  5. Step 5: Solve for x
    x = 104,374,792.68/12,027.42
  6. Step 6: Final answer
    x = 8,678.07

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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.