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Finding the Fourth Proportional to 23,414.70, 35,122.08 and 9,563.70

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Solution

The fourth proportional to 23,414.70, 35,122.08 and 9,563.70 is: 14,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.70 : 35,122.08 = 9,563.70 : x
  2. Step 2: Convert to fraction form
    23,414.70/35,122.08 = 9,563.70/x
  3. Step 3: Cross multiply
    23,414.70x = 35,122.08 × 9,563.70
  4. Step 4: Simplify right side
    23,414.70x = 335,897,036.50
  5. Step 5: Solve for x
    x = 335,897,036.50/23,414.70
  6. Step 6: Final answer
    x = 14,345.56

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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.