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Finding the Fourth Proportional to 27,220.38, 40,767.84 and 19,676.16

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Solution

The fourth proportional to 27,220.38, 40,767.84 and 19,676.16 is: 29,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,220.38 : 40,767.84 = 19,676.16 : x
  2. Step 2: Convert to fraction form
    27,220.38/40,767.84 = 19,676.16/x
  3. Step 3: Cross multiply
    27,220.38x = 40,767.84 × 19,676.16
  4. Step 4: Simplify right side
    27,220.38x = 802,154,542.69
  5. Step 5: Solve for x
    x = 802,154,542.69/27,220.38
  6. Step 6: Final answer
    x = 29,468.90

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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.