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Finding the Fourth Proportional to 15,704.13, 23,557.72 and 5,169.84

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Solution

The fourth proportional to 15,704.13, 23,557.72 and 5,169.84 is: 7,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.13 : 23,557.72 = 5,169.84 : x
  2. Step 2: Convert to fraction form
    15,704.13/23,557.72 = 5,169.84/x
  3. Step 3: Cross multiply
    15,704.13x = 23,557.72 × 5,169.84
  4. Step 4: Simplify right side
    15,704.13x = 121,789,684.10
  5. Step 5: Solve for x
    x = 121,789,684.10/15,704.13
  6. Step 6: Final answer
    x = 7,755.27

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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.