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Finding the Fourth Proportional to 17,634.63, 24,335.81 and 9,677.29

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Solution

The fourth proportional to 17,634.63, 24,335.81 and 9,677.29 is: 13,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.63 : 24,335.81 = 9,677.29 : x
  2. Step 2: Convert to fraction form
    17,634.63/24,335.81 = 9,677.29/x
  3. Step 3: Cross multiply
    17,634.63x = 24,335.81 × 9,677.29
  4. Step 4: Simplify right side
    17,634.63x = 235,504,690.75
  5. Step 5: Solve for x
    x = 235,504,690.75/17,634.63
  6. Step 6: Final answer
    x = 13,354.67

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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.