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Finding the Fourth Proportional to 17,974.78, 24,805.91 and 10,016.93

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Solution

The fourth proportional to 17,974.78, 24,805.91 and 10,016.93 is: 13,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.78 : 24,805.91 = 10,016.93 : x
  2. Step 2: Convert to fraction form
    17,974.78/24,805.91 = 10,016.93/x
  3. Step 3: Cross multiply
    17,974.78x = 24,805.91 × 10,016.93
  4. Step 4: Simplify right side
    17,974.78x = 248,479,151.11
  5. Step 5: Solve for x
    x = 248,479,151.11/17,974.78
  6. Step 6: Final answer
    x = 13,823.77

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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.