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Finding the Fourth Proportional to 27,878.31, 38,462.64 and 15,933.14

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Solution

The fourth proportional to 27,878.31, 38,462.64 and 15,933.14 is: 21,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.31 : 38,462.64 = 15,933.14 : x
  2. Step 2: Convert to fraction form
    27,878.31/38,462.64 = 15,933.14/x
  3. Step 3: Cross multiply
    27,878.31x = 38,462.64 × 15,933.14
  4. Step 4: Simplify right side
    27,878.31x = 612,830,627.89
  5. Step 5: Solve for x
    x = 612,830,627.89/27,878.31
  6. Step 6: Final answer
    x = 21,982.34

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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.