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Finding the Fourth Proportional to 17,650.34, 24,357.64 and 9,692.74

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Solution

The fourth proportional to 17,650.34, 24,357.64 and 9,692.74 is: 13,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650.34 : 24,357.64 = 9,692.74 : x
  2. Step 2: Convert to fraction form
    17,650.34/24,357.64 = 9,692.74/x
  3. Step 3: Cross multiply
    17,650.34x = 24,357.64 × 9,692.74
  4. Step 4: Simplify right side
    17,650.34x = 236,092,149.75
  5. Step 5: Solve for x
    x = 236,092,149.75/17,650.34
  6. Step 6: Final answer
    x = 13,376.07

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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.