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Finding the Fourth Proportional to 24,612.32, 36,896.52 and 9,026.32

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Solution

The fourth proportional to 24,612.32, 36,896.52 and 9,026.32 is: 13,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,612.32 : 36,896.52 = 9,026.32 : x
  2. Step 2: Convert to fraction form
    24,612.32/36,896.52 = 9,026.32/x
  3. Step 3: Cross multiply
    24,612.32x = 36,896.52 × 9,026.32
  4. Step 4: Simplify right side
    24,612.32x = 333,039,796.41
  5. Step 5: Solve for x
    x = 333,039,796.41/24,612.32
  6. Step 6: Final answer
    x = 13,531.43

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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.