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Finding the Fourth Proportional to 24,407, 36,610.56 and 5,939

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Solution

The fourth proportional to 24,407, 36,610.56 and 5,939 is: 8,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407 : 36,610.56 = 5,939 : x
  2. Step 2: Convert to fraction form
    24,407/36,610.56 = 5,939/x
  3. Step 3: Cross multiply
    24,407x = 36,610.56 × 5,939
  4. Step 4: Simplify right side
    24,407x = 217,430,115.84
  5. Step 5: Solve for x
    x = 217,430,115.84/24,407
  6. Step 6: Final answer
    x = 8,908.51

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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.