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Finding the Fourth Proportional to 27,776.04, 38,348.82 and 24,786.74

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Solution

The fourth proportional to 27,776.04, 38,348.82 and 24,786.74 is: 34,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.04 : 38,348.82 = 24,786.74 : x
  2. Step 2: Convert to fraction form
    27,776.04/38,348.82 = 24,786.74/x
  3. Step 3: Cross multiply
    27,776.04x = 38,348.82 × 24,786.74
  4. Step 4: Simplify right side
    27,776.04x = 950,542,038.90
  5. Step 5: Solve for x
    x = 950,542,038.90/27,776.04
  6. Step 6: Final answer
    x = 34,221.65

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