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Finding the Fourth Proportional to 27,671.31, 38,186.52 and 15,096.33

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Solution

The fourth proportional to 27,671.31, 38,186.52 and 15,096.33 is: 20,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.31 : 38,186.52 = 15,096.33 : x
  2. Step 2: Convert to fraction form
    27,671.31/38,186.52 = 15,096.33/x
  3. Step 3: Cross multiply
    27,671.31x = 38,186.52 × 15,096.33
  4. Step 4: Simplify right side
    27,671.31x = 576,476,307.47
  5. Step 5: Solve for x
    x = 576,476,307.47/27,671.31
  6. Step 6: Final answer
    x = 20,833.00

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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.