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Finding the Fourth Proportional to 12,642.70, 18,962.56 and 7,948.85

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Solution

The fourth proportional to 12,642.70, 18,962.56 and 7,948.85 is: 11,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.70 : 18,962.56 = 7,948.85 : x
  2. Step 2: Convert to fraction form
    12,642.70/18,962.56 = 7,948.85/x
  3. Step 3: Cross multiply
    12,642.70x = 18,962.56 × 7,948.85
  4. Step 4: Simplify right side
    12,642.70x = 150,730,450.24
  5. Step 5: Solve for x
    x = 150,730,450.24/12,642.70
  6. Step 6: Final answer
    x = 11,922.34

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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.