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Finding the Fourth Proportional to 27,217.90, 40,829.15 and 7,496.46

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Solution

The fourth proportional to 27,217.90, 40,829.15 and 7,496.46 is: 11,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,217.90 : 40,829.15 = 7,496.46 : x
  2. Step 2: Convert to fraction form
    27,217.90/40,829.15 = 7,496.46/x
  3. Step 3: Cross multiply
    27,217.90x = 40,829.15 × 7,496.46
  4. Step 4: Simplify right side
    27,217.90x = 306,073,920.77
  5. Step 5: Solve for x
    x = 306,073,920.77/27,217.90
  6. Step 6: Final answer
    x = 11,245.32

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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.