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Finding the Fourth Proportional to 27,881.31, 41,830.16 and 11,232.78

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Solution

The fourth proportional to 27,881.31, 41,830.16 and 11,232.78 is: 16,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.31 : 41,830.16 = 11,232.78 : x
  2. Step 2: Convert to fraction form
    27,881.31/41,830.16 = 11,232.78/x
  3. Step 3: Cross multiply
    27,881.31x = 41,830.16 × 11,232.78
  4. Step 4: Simplify right side
    27,881.31x = 469,868,928.48
  5. Step 5: Solve for x
    x = 469,868,928.48/27,881.31
  6. Step 6: Final answer
    x = 16,852.47

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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.