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Finding the Fourth Proportional to 29,634.78, 40,888.34 and 17,692.86

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Solution

The fourth proportional to 29,634.78, 40,888.34 and 17,692.86 is: 24,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,634.78 : 40,888.34 = 17,692.86 : x
  2. Step 2: Convert to fraction form
    29,634.78/40,888.34 = 17,692.86/x
  3. Step 3: Cross multiply
    29,634.78x = 40,888.34 × 17,692.86
  4. Step 4: Simplify right side
    29,634.78x = 723,431,675.25
  5. Step 5: Solve for x
    x = 723,431,675.25/29,634.78
  6. Step 6: Final answer
    x = 24,411.58

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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.