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Finding the Fourth Proportional to 17,974.02, 24,803.88 and 10,016.22

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Solution

The fourth proportional to 17,974.02, 24,803.88 and 10,016.22 is: 13,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.02 : 24,803.88 = 10,016.22 : x
  2. Step 2: Convert to fraction form
    17,974.02/24,803.88 = 10,016.22/x
  3. Step 3: Cross multiply
    17,974.02x = 24,803.88 × 10,016.22
  4. Step 4: Simplify right side
    17,974.02x = 248,441,118.93
  5. Step 5: Solve for x
    x = 248,441,118.93/17,974.02
  6. Step 6: Final answer
    x = 13,822.23

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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.