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Finding the Fourth Proportional to 27,705.78, 38,233.70 and 16,948.82

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Solution

The fourth proportional to 27,705.78, 38,233.70 and 16,948.82 is: 23,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.78 : 38,233.70 = 16,948.82 : x
  2. Step 2: Convert to fraction form
    27,705.78/38,233.70 = 16,948.82/x
  3. Step 3: Cross multiply
    27,705.78x = 38,233.70 × 16,948.82
  4. Step 4: Simplify right side
    27,705.78x = 648,016,099.23
  5. Step 5: Solve for x
    x = 648,016,099.23/27,705.78
  6. Step 6: Final answer
    x = 23,389.20

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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.