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Finding the Fourth Proportional to 17,906.64, 24,705.42 and 10,351.98

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Solution

The fourth proportional to 17,906.64, 24,705.42 and 10,351.98 is: 14,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.64 : 24,705.42 = 10,351.98 : x
  2. Step 2: Convert to fraction form
    17,906.64/24,705.42 = 10,351.98/x
  3. Step 3: Cross multiply
    17,906.64x = 24,705.42 × 10,351.98
  4. Step 4: Simplify right side
    17,906.64x = 255,750,013.73
  5. Step 5: Solve for x
    x = 255,750,013.73/17,906.64
  6. Step 6: Final answer
    x = 14,282.41

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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.