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Finding the Fourth Proportional to 17,884.19, 24,675.74 and 9,924.42

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Solution

The fourth proportional to 17,884.19, 24,675.74 and 9,924.42 is: 13,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.19 : 24,675.74 = 9,924.42 : x
  2. Step 2: Convert to fraction form
    17,884.19/24,675.74 = 9,924.42/x
  3. Step 3: Cross multiply
    17,884.19x = 24,675.74 × 9,924.42
  4. Step 4: Simplify right side
    17,884.19x = 244,892,487.70
  5. Step 5: Solve for x
    x = 244,892,487.70/17,884.19
  6. Step 6: Final answer
    x = 13,693.24

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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.