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Finding the Fourth Proportional to 15,745.75, 23,613.07 and 4,649.47

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Solution

The fourth proportional to 15,745.75, 23,613.07 and 4,649.47 is: 6,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.75 : 23,613.07 = 4,649.47 : x
  2. Step 2: Convert to fraction form
    15,745.75/23,613.07 = 4,649.47/x
  3. Step 3: Cross multiply
    15,745.75x = 23,613.07 × 4,649.47
  4. Step 4: Simplify right side
    15,745.75x = 109,788,260.57
  5. Step 5: Solve for x
    x = 109,788,260.57/15,745.75
  6. Step 6: Final answer
    x = 6,972.56

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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.