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Finding the Fourth Proportional to 24,575.34, 33,912.86 and 13,965.96

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Solution

The fourth proportional to 24,575.34, 33,912.86 and 13,965.96 is: 19,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,575.34 : 33,912.86 = 13,965.96 : x
  2. Step 2: Convert to fraction form
    24,575.34/33,912.86 = 13,965.96/x
  3. Step 3: Cross multiply
    24,575.34x = 33,912.86 × 13,965.96
  4. Step 4: Simplify right side
    24,575.34x = 473,625,646.25
  5. Step 5: Solve for x
    x = 473,625,646.25/24,575.34
  6. Step 6: Final answer
    x = 19,272.39

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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.