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Finding the Fourth Proportional to 14,704.74, 20,268.90 and 11,512.53

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Solution

The fourth proportional to 14,704.74, 20,268.90 and 11,512.53 is: 15,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.74 : 20,268.90 = 11,512.53 : x
  2. Step 2: Convert to fraction form
    14,704.74/20,268.90 = 11,512.53/x
  3. Step 3: Cross multiply
    14,704.74x = 20,268.90 × 11,512.53
  4. Step 4: Simplify right side
    14,704.74x = 233,346,319.32
  5. Step 5: Solve for x
    x = 233,346,319.32/14,704.74
  6. Step 6: Final answer
    x = 15,868.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.