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Finding the Fourth Proportional to 24,232.86, 36,350.37 and 7,594.56

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Solution

The fourth proportional to 24,232.86, 36,350.37 and 7,594.56 is: 11,392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.86 : 36,350.37 = 7,594.56 : x
  2. Step 2: Convert to fraction form
    24,232.86/36,350.37 = 7,594.56/x
  3. Step 3: Cross multiply
    24,232.86x = 36,350.37 × 7,594.56
  4. Step 4: Simplify right side
    24,232.86x = 276,065,065.99
  5. Step 5: Solve for x
    x = 276,065,065.99/24,232.86
  6. Step 6: Final answer
    x = 11,392.18

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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.