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Finding the Fourth Proportional to 23,259.20, 34,891.68 and 7,465.28

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Solution

The fourth proportional to 23,259.20, 34,891.68 and 7,465.28 is: 11,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,259.20 : 34,891.68 = 7,465.28 : x
  2. Step 2: Convert to fraction form
    23,259.20/34,891.68 = 7,465.28/x
  3. Step 3: Cross multiply
    23,259.20x = 34,891.68 × 7,465.28
  4. Step 4: Simplify right side
    23,259.20x = 260,476,160.87
  5. Step 5: Solve for x
    x = 260,476,160.87/23,259.20
  6. Step 6: Final answer
    x = 11,198.84

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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.