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Finding the Fourth Proportional to 24,257.60, 33,474.84 and 13,649.48

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Solution

The fourth proportional to 24,257.60, 33,474.84 and 13,649.48 is: 18,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.60 : 33,474.84 = 13,649.48 : x
  2. Step 2: Convert to fraction form
    24,257.60/33,474.84 = 13,649.48/x
  3. Step 3: Cross multiply
    24,257.60x = 33,474.84 × 13,649.48
  4. Step 4: Simplify right side
    24,257.60x = 456,914,159.08
  5. Step 5: Solve for x
    x = 456,914,159.08/24,257.60
  6. Step 6: Final answer
    x = 18,835.92

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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.