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Finding the Fourth Proportional to 23,866.20, 35,799.68 and 7,226.40

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Solution

The fourth proportional to 23,866.20, 35,799.68 and 7,226.40 is: 10,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,866.20 : 35,799.68 = 7,226.40 : x
  2. Step 2: Convert to fraction form
    23,866.20/35,799.68 = 7,226.40/x
  3. Step 3: Cross multiply
    23,866.20x = 35,799.68 × 7,226.40
  4. Step 4: Simplify right side
    23,866.20x = 258,702,807.55
  5. Step 5: Solve for x
    x = 258,702,807.55/23,866.20
  6. Step 6: Final answer
    x = 10,839.72

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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.