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Finding the Fourth Proportional to 15,704.67, 23,559.90 and 5,175.32

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Solution

The fourth proportional to 15,704.67, 23,559.90 and 5,175.32 is: 7,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.67 : 23,559.90 = 5,175.32 : x
  2. Step 2: Convert to fraction form
    15,704.67/23,559.90 = 5,175.32/x
  3. Step 3: Cross multiply
    15,704.67x = 23,559.90 × 5,175.32
  4. Step 4: Simplify right side
    15,704.67x = 121,929,884.46
  5. Step 5: Solve for x
    x = 121,929,884.46/15,704.67
  6. Step 6: Final answer
    x = 7,763.92

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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.