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Finding the Fourth Proportional to 24,622.32, 36,932.52 and 9,826.80

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Solution

The fourth proportional to 24,622.32, 36,932.52 and 9,826.80 is: 14,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,622.32 : 36,932.52 = 9,826.80 : x
  2. Step 2: Convert to fraction form
    24,622.32/36,932.52 = 9,826.80/x
  3. Step 3: Cross multiply
    24,622.32x = 36,932.52 × 9,826.80
  4. Step 4: Simplify right side
    24,622.32x = 362,928,487.54
  5. Step 5: Solve for x
    x = 362,928,487.54/24,622.32
  6. Step 6: Final answer
    x = 14,739.82

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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.