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Finding the Fourth Proportional to 24,228.30, 36,342.51 and 7,589.78

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Solution

The fourth proportional to 24,228.30, 36,342.51 and 7,589.78 is: 11,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228.30 : 36,342.51 = 7,589.78 : x
  2. Step 2: Convert to fraction form
    24,228.30/36,342.51 = 7,589.78/x
  3. Step 3: Cross multiply
    24,228.30x = 36,342.51 × 7,589.78
  4. Step 4: Simplify right side
    24,228.30x = 275,831,786.08
  5. Step 5: Solve for x
    x = 275,831,786.08/24,228.30
  6. Step 6: Final answer
    x = 11,384.70

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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.