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Finding the Fourth Proportional to 24,408.52, 36,615.66 and 7,769.32

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Solution

The fourth proportional to 24,408.52, 36,615.66 and 7,769.32 is: 11,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408.52 : 36,615.66 = 7,769.32 : x
  2. Step 2: Convert to fraction form
    24,408.52/36,615.66 = 7,769.32/x
  3. Step 3: Cross multiply
    24,408.52x = 36,615.66 × 7,769.32
  4. Step 4: Simplify right side
    24,408.52x = 284,478,779.55
  5. Step 5: Solve for x
    x = 284,478,779.55/24,408.52
  6. Step 6: Final answer
    x = 11,654.90

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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.