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Finding the Fourth Proportional to 24,870.96, 34,321.92 and 13,692.96

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Solution

The fourth proportional to 24,870.96, 34,321.92 and 13,692.96 is: 18,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870.96 : 34,321.92 = 13,692.96 : x
  2. Step 2: Convert to fraction form
    24,870.96/34,321.92 = 13,692.96/x
  3. Step 3: Cross multiply
    24,870.96x = 34,321.92 × 13,692.96
  4. Step 4: Simplify right side
    24,870.96x = 469,968,677.68
  5. Step 5: Solve for x
    x = 469,968,677.68/24,870.96
  6. Step 6: Final answer
    x = 18,896.28

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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.