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Finding the Fourth Proportional to 27,817.97, 38,391.55 and 15,883.10

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Solution

The fourth proportional to 27,817.97, 38,391.55 and 15,883.10 is: 21,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.97 : 38,391.55 = 15,883.10 : x
  2. Step 2: Convert to fraction form
    27,817.97/38,391.55 = 15,883.10/x
  3. Step 3: Cross multiply
    27,817.97x = 38,391.55 × 15,883.10
  4. Step 4: Simplify right side
    27,817.97x = 609,776,827.81
  5. Step 5: Solve for x
    x = 609,776,827.81/27,817.97
  6. Step 6: Final answer
    x = 21,920.25

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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.