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Finding the Fourth Proportional to 27,842.67, 38,422.62 and 15,905.16

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Solution

The fourth proportional to 27,842.67, 38,422.62 and 15,905.16 is: 21,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.67 : 38,422.62 = 15,905.16 : x
  2. Step 2: Convert to fraction form
    27,842.67/38,422.62 = 15,905.16/x
  3. Step 3: Cross multiply
    27,842.67x = 38,422.62 × 15,905.16
  4. Step 4: Simplify right side
    27,842.67x = 611,117,918.72
  5. Step 5: Solve for x
    x = 611,117,918.72/27,842.67
  6. Step 6: Final answer
    x = 21,948.97

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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.