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Finding the Fourth Proportional to 23,811.24, 35,713.98 and 6,282.39

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Solution

The fourth proportional to 23,811.24, 35,713.98 and 6,282.39 is: 9,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.24 : 35,713.98 = 6,282.39 : x
  2. Step 2: Convert to fraction form
    23,811.24/35,713.98 = 6,282.39/x
  3. Step 3: Cross multiply
    23,811.24x = 35,713.98 × 6,282.39
  4. Step 4: Simplify right side
    23,811.24x = 224,369,150.81
  5. Step 5: Solve for x
    x = 224,369,150.81/23,811.24
  6. Step 6: Final answer
    x = 9,422.83

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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.