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Finding the Fourth Proportional to 27,220.32, 40,821.84 and 8,748

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Solution

The fourth proportional to 27,220.32, 40,821.84 and 8,748 is: 13,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,220.32 : 40,821.84 = 8,748 : x
  2. Step 2: Convert to fraction form
    27,220.32/40,821.84 = 8,748/x
  3. Step 3: Cross multiply
    27,220.32x = 40,821.84 × 8,748
  4. Step 4: Simplify right side
    27,220.32x = 357,109,456.32
  5. Step 5: Solve for x
    x = 357,109,456.32/27,220.32
  6. Step 6: Final answer
    x = 13,119.22

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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.