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Finding the Fourth Proportional to 15,887.68, 23,826.12 and 5,497

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Solution

The fourth proportional to 15,887.68, 23,826.12 and 5,497 is: 8,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887.68 : 23,826.12 = 5,497 : x
  2. Step 2: Convert to fraction form
    15,887.68/23,826.12 = 5,497/x
  3. Step 3: Cross multiply
    15,887.68x = 23,826.12 × 5,497
  4. Step 4: Simplify right side
    15,887.68x = 130,972,181.64
  5. Step 5: Solve for x
    x = 130,972,181.64/15,887.68
  6. Step 6: Final answer
    x = 8,243.63

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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.