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Finding the Fourth Proportional to 23,887.28, 35,838.12 and 9,648.44

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Solution

The fourth proportional to 23,887.28, 35,838.12 and 9,648.44 is: 14,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,887.28 : 35,838.12 = 9,648.44 : x
  2. Step 2: Convert to fraction form
    23,887.28/35,838.12 = 9,648.44/x
  3. Step 3: Cross multiply
    23,887.28x = 35,838.12 × 9,648.44
  4. Step 4: Simplify right side
    23,887.28x = 345,781,950.53
  5. Step 5: Solve for x
    x = 345,781,950.53/23,887.28
  6. Step 6: Final answer
    x = 14,475.57

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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.