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Finding the Fourth Proportional to 17,881.75, 24,677.36 and 9,924.72

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Solution

The fourth proportional to 17,881.75, 24,677.36 and 9,924.72 is: 13,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.75 : 24,677.36 = 9,924.72 : x
  2. Step 2: Convert to fraction form
    17,881.75/24,677.36 = 9,924.72/x
  3. Step 3: Cross multiply
    17,881.75x = 24,677.36 × 9,924.72
  4. Step 4: Simplify right side
    17,881.75x = 244,915,888.34
  5. Step 5: Solve for x
    x = 244,915,888.34/17,881.75
  6. Step 6: Final answer
    x = 13,696.42

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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.