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Finding the Fourth Proportional to 17,974.62, 24,802.02 and 10,016.64

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Solution

The fourth proportional to 17,974.62, 24,802.02 and 10,016.64 is: 13,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.62 : 24,802.02 = 10,016.64 : x
  2. Step 2: Convert to fraction form
    17,974.62/24,802.02 = 10,016.64/x
  3. Step 3: Cross multiply
    17,974.62x = 24,802.02 × 10,016.64
  4. Step 4: Simplify right side
    17,974.62x = 248,432,905.61
  5. Step 5: Solve for x
    x = 248,432,905.61/17,974.62
  6. Step 6: Final answer
    x = 13,821.32

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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.