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Finding the Fourth Proportional to 27,878.78, 38,463.35 and 15,933.66

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Solution

The fourth proportional to 27,878.78, 38,463.35 and 15,933.66 is: 21,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.78 : 38,463.35 = 15,933.66 : x
  2. Step 2: Convert to fraction form
    27,878.78/38,463.35 = 15,933.66/x
  3. Step 3: Cross multiply
    27,878.78x = 38,463.35 × 15,933.66
  4. Step 4: Simplify right side
    27,878.78x = 612,861,861.69
  5. Step 5: Solve for x
    x = 612,861,861.69/27,878.78
  6. Step 6: Final answer
    x = 21,983.10

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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.