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Finding the Fourth Proportional to 23,865.94, 35,805.39 and 7,226.53

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Solution

The fourth proportional to 23,865.94, 35,805.39 and 7,226.53 is: 10,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,865.94 : 35,805.39 = 7,226.53 : x
  2. Step 2: Convert to fraction form
    23,865.94/35,805.39 = 7,226.53/x
  3. Step 3: Cross multiply
    23,865.94x = 35,805.39 × 7,226.53
  4. Step 4: Simplify right side
    23,865.94x = 258,748,725.00
  5. Step 5: Solve for x
    x = 258,748,725.00/23,865.94
  6. Step 6: Final answer
    x = 10,841.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.