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Finding the Fourth Proportional to 16,074.63, 22,184.96 and 9,704.85

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Solution

The fourth proportional to 16,074.63, 22,184.96 and 9,704.85 is: 13,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.63 : 22,184.96 = 9,704.85 : x
  2. Step 2: Convert to fraction form
    16,074.63/22,184.96 = 9,704.85/x
  3. Step 3: Cross multiply
    16,074.63x = 22,184.96 × 9,704.85
  4. Step 4: Simplify right side
    16,074.63x = 215,301,660.53
  5. Step 5: Solve for x
    x = 215,301,660.53/16,074.63
  6. Step 6: Final answer
    x = 13,393.88

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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.