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Finding the Fourth Proportional to 17,974.92, 24,803.64 and 10,016.40

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Solution

The fourth proportional to 17,974.92, 24,803.64 and 10,016.40 is: 13,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.92 : 24,803.64 = 10,016.40 : x
  2. Step 2: Convert to fraction form
    17,974.92/24,803.64 = 10,016.40/x
  3. Step 3: Cross multiply
    17,974.92x = 24,803.64 × 10,016.40
  4. Step 4: Simplify right side
    17,974.92x = 248,443,179.70
  5. Step 5: Solve for x
    x = 248,443,179.70/17,974.92
  6. Step 6: Final answer
    x = 13,821.66

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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.