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Finding the Fourth Proportional to 24,255.96, 36,385.48 and 7,616.64

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Solution

The fourth proportional to 24,255.96, 36,385.48 and 7,616.64 is: 11,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,255.96 : 36,385.48 = 7,616.64 : x
  2. Step 2: Convert to fraction form
    24,255.96/36,385.48 = 7,616.64/x
  3. Step 3: Cross multiply
    24,255.96x = 36,385.48 × 7,616.64
  4. Step 4: Simplify right side
    24,255.96x = 277,135,102.39
  5. Step 5: Solve for x
    x = 277,135,102.39/24,255.96
  6. Step 6: Final answer
    x = 11,425.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.