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Finding the Fourth Proportional to 17,974.14, 24,804.15 and 10,016.22

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Solution

The fourth proportional to 17,974.14, 24,804.15 and 10,016.22 is: 13,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.14 : 24,804.15 = 10,016.22 : x
  2. Step 2: Convert to fraction form
    17,974.14/24,804.15 = 10,016.22/x
  3. Step 3: Cross multiply
    17,974.14x = 24,804.15 × 10,016.22
  4. Step 4: Simplify right side
    17,974.14x = 248,443,823.31
  5. Step 5: Solve for x
    x = 248,443,823.31/17,974.14
  6. Step 6: Final answer
    x = 13,822.29

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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.