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Finding the Fourth Proportional to 16,237.92, 22,408.56 and 9,948

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Solution

The fourth proportional to 16,237.92, 22,408.56 and 9,948 is: 13,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237.92 : 22,408.56 = 9,948 : x
  2. Step 2: Convert to fraction form
    16,237.92/22,408.56 = 9,948/x
  3. Step 3: Cross multiply
    16,237.92x = 22,408.56 × 9,948
  4. Step 4: Simplify right side
    16,237.92x = 222,920,354.88
  5. Step 5: Solve for x
    x = 222,920,354.88/16,237.92
  6. Step 6: Final answer
    x = 13,728.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.