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Finding the Fourth Proportional to 24,824.80, 34,257.84 and 13,646.56

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Solution

The fourth proportional to 24,824.80, 34,257.84 and 13,646.56 is: 18,832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.80 : 34,257.84 = 13,646.56 : x
  2. Step 2: Convert to fraction form
    24,824.80/34,257.84 = 13,646.56/x
  3. Step 3: Cross multiply
    24,824.80x = 34,257.84 × 13,646.56
  4. Step 4: Simplify right side
    24,824.80x = 467,501,669.03
  5. Step 5: Solve for x
    x = 467,501,669.03/24,824.80
  6. Step 6: Final answer
    x = 18,832.04

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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.