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Finding the Fourth Proportional to 13,431.74, 20,149.77 and 5,642.78

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Solution

The fourth proportional to 13,431.74, 20,149.77 and 5,642.78 is: 8,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.74 : 20,149.77 = 5,642.78 : x
  2. Step 2: Convert to fraction form
    13,431.74/20,149.77 = 5,642.78/x
  3. Step 3: Cross multiply
    13,431.74x = 20,149.77 × 5,642.78
  4. Step 4: Simplify right side
    13,431.74x = 113,700,719.16
  5. Step 5: Solve for x
    x = 113,700,719.16/13,431.74
  6. Step 6: Final answer
    x = 8,465.08

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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.