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Finding the Fourth Proportional to 17,631.64, 24,333.24 and 9,675.42

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Solution

The fourth proportional to 17,631.64, 24,333.24 and 9,675.42 is: 13,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631.64 : 24,333.24 = 9,675.42 : x
  2. Step 2: Convert to fraction form
    17,631.64/24,333.24 = 9,675.42/x
  3. Step 3: Cross multiply
    17,631.64x = 24,333.24 × 9,675.42
  4. Step 4: Simplify right side
    17,631.64x = 235,434,195.29
  5. Step 5: Solve for x
    x = 235,434,195.29/17,631.64
  6. Step 6: Final answer
    x = 13,352.94

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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.