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Finding the Fourth Proportional to 27,781.74, 38,337.80 and 15,848.88

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Solution

The fourth proportional to 27,781.74, 38,337.80 and 15,848.88 is: 21,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.74 : 38,337.80 = 15,848.88 : x
  2. Step 2: Convert to fraction form
    27,781.74/38,337.80 = 15,848.88/x
  3. Step 3: Cross multiply
    27,781.74x = 38,337.80 × 15,848.88
  4. Step 4: Simplify right side
    27,781.74x = 607,611,191.66
  5. Step 5: Solve for x
    x = 607,611,191.66/27,781.74
  6. Step 6: Final answer
    x = 21,870.88

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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.