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Finding the Fourth Proportional to 27,824.92, 38,390.92 and 15,885.88

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Solution

The fourth proportional to 27,824.92, 38,390.92 and 15,885.88 is: 21,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.92 : 38,390.92 = 15,885.88 : x
  2. Step 2: Convert to fraction form
    27,824.92/38,390.92 = 15,885.88/x
  3. Step 3: Cross multiply
    27,824.92x = 38,390.92 × 15,885.88
  4. Step 4: Simplify right side
    27,824.92x = 609,873,664.04
  5. Step 5: Solve for x
    x = 609,873,664.04/27,824.92
  6. Step 6: Final answer
    x = 21,918.25

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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.