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Finding the Fourth Proportional to 15,735.24, 23,617.44 and 7,949.52

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Solution

The fourth proportional to 15,735.24, 23,617.44 and 7,949.52 is: 11,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.24 : 23,617.44 = 7,949.52 : x
  2. Step 2: Convert to fraction form
    15,735.24/23,617.44 = 7,949.52/x
  3. Step 3: Cross multiply
    15,735.24x = 23,617.44 × 7,949.52
  4. Step 4: Simplify right side
    15,735.24x = 187,747,311.63
  5. Step 5: Solve for x
    x = 187,747,311.63/15,735.24
  6. Step 6: Final answer
    x = 11,931.65

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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.