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Finding the Fourth Proportional to 15,717, 23,575.77 and 5,329.02

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Solution

The fourth proportional to 15,717, 23,575.77 and 5,329.02 is: 7,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717 : 23,575.77 = 5,329.02 : x
  2. Step 2: Convert to fraction form
    15,717/23,575.77 = 5,329.02/x
  3. Step 3: Cross multiply
    15,717x = 23,575.77 × 5,329.02
  4. Step 4: Simplify right side
    15,717x = 125,635,749.85
  5. Step 5: Solve for x
    x = 125,635,749.85/15,717
  6. Step 6: Final answer
    x = 7,993.62

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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.