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Finding the Fourth Proportional to 27,805.34, 38,374.13 and 15,870.49

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Solution

The fourth proportional to 27,805.34, 38,374.13 and 15,870.49 is: 21,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,805.34 : 38,374.13 = 15,870.49 : x
  2. Step 2: Convert to fraction form
    27,805.34/38,374.13 = 15,870.49/x
  3. Step 3: Cross multiply
    27,805.34x = 38,374.13 × 15,870.49
  4. Step 4: Simplify right side
    27,805.34x = 609,016,190.16
  5. Step 5: Solve for x
    x = 609,016,190.16/27,805.34
  6. Step 6: Final answer
    x = 21,902.85

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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.