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Finding the Fourth Proportional to 24,870.46, 34,321.23 and 13,692.46

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Solution

The fourth proportional to 24,870.46, 34,321.23 and 13,692.46 is: 18,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870.46 : 34,321.23 = 13,692.46 : x
  2. Step 2: Convert to fraction form
    24,870.46/34,321.23 = 13,692.46/x
  3. Step 3: Cross multiply
    24,870.46x = 34,321.23 × 13,692.46
  4. Step 4: Simplify right side
    24,870.46x = 469,942,068.93
  5. Step 5: Solve for x
    x = 469,942,068.93/24,870.46
  6. Step 6: Final answer
    x = 18,895.59

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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.