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Finding the Fourth Proportional to 24,870.38, 34,321.19 and 13,692.38

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Solution

The fourth proportional to 24,870.38, 34,321.19 and 13,692.38 is: 18,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870.38 : 34,321.19 = 13,692.38 : x
  2. Step 2: Convert to fraction form
    24,870.38/34,321.19 = 13,692.38/x
  3. Step 3: Cross multiply
    24,870.38x = 34,321.19 × 13,692.38
  4. Step 4: Simplify right side
    24,870.38x = 469,938,535.46
  5. Step 5: Solve for x
    x = 469,938,535.46/24,870.38
  6. Step 6: Final answer
    x = 18,895.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.