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Finding the Fourth Proportional to 17,671.80, 24,387.25 and 9,605.49

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Solution

The fourth proportional to 17,671.80, 24,387.25 and 9,605.49 is: 13,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.80 : 24,387.25 = 9,605.49 : x
  2. Step 2: Convert to fraction form
    17,671.80/24,387.25 = 9,605.49/x
  3. Step 3: Cross multiply
    17,671.80x = 24,387.25 × 9,605.49
  4. Step 4: Simplify right side
    17,671.80x = 234,251,415.56
  5. Step 5: Solve for x
    x = 234,251,415.56/17,671.80
  6. Step 6: Final answer
    x = 13,255.67

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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.