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Finding the Fourth Proportional to 17,974.32, 24,804.27 and 10,016.34

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Solution

The fourth proportional to 17,974.32, 24,804.27 and 10,016.34 is: 13,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.32 : 24,804.27 = 10,016.34 : x
  2. Step 2: Convert to fraction form
    17,974.32/24,804.27 = 10,016.34/x
  3. Step 3: Cross multiply
    17,974.32x = 24,804.27 × 10,016.34
  4. Step 4: Simplify right side
    17,974.32x = 248,448,001.77
  5. Step 5: Solve for x
    x = 248,448,001.77/17,974.32
  6. Step 6: Final answer
    x = 13,822.39

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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.