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Finding the Fourth Proportional to 17,692.48, 24,414.91 and 9,733.83

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Solution

The fourth proportional to 17,692.48, 24,414.91 and 9,733.83 is: 13,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.48 : 24,414.91 = 9,733.83 : x
  2. Step 2: Convert to fraction form
    17,692.48/24,414.91 = 9,733.83/x
  3. Step 3: Cross multiply
    17,692.48x = 24,414.91 × 9,733.83
  4. Step 4: Simplify right side
    17,692.48x = 237,650,583.41
  5. Step 5: Solve for x
    x = 237,650,583.41/17,692.48
  6. Step 6: Final answer
    x = 13,432.29

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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.