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Finding the Fourth Proportional to 24,159.86, 33,342.30 and 13,408.25

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Solution

The fourth proportional to 24,159.86, 33,342.30 and 13,408.25 is: 18,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,159.86 : 33,342.30 = 13,408.25 : x
  2. Step 2: Convert to fraction form
    24,159.86/33,342.30 = 13,408.25/x
  3. Step 3: Cross multiply
    24,159.86x = 33,342.30 × 13,408.25
  4. Step 4: Simplify right side
    24,159.86x = 447,061,893.98
  5. Step 5: Solve for x
    x = 447,061,893.98/24,159.86
  6. Step 6: Final answer
    x = 18,504.32

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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.