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Finding the Fourth Proportional to 17,974.76, 24,802.24 and 10,016.76

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Solution

The fourth proportional to 17,974.76, 24,802.24 and 10,016.76 is: 13,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.76 : 24,802.24 = 10,016.76 : x
  2. Step 2: Convert to fraction form
    17,974.76/24,802.24 = 10,016.76/x
  3. Step 3: Cross multiply
    17,974.76x = 24,802.24 × 10,016.76
  4. Step 4: Simplify right side
    17,974.76x = 248,438,085.54
  5. Step 5: Solve for x
    x = 248,438,085.54/17,974.76
  6. Step 6: Final answer
    x = 13,821.50

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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.