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Finding the Fourth Proportional to 23,563, 35,322.12 and 8,761.84

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Solution

The fourth proportional to 23,563, 35,322.12 and 8,761.84 is: 13,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563 : 35,322.12 = 8,761.84 : x
  2. Step 2: Convert to fraction form
    23,563/35,322.12 = 8,761.84/x
  3. Step 3: Cross multiply
    23,563x = 35,322.12 × 8,761.84
  4. Step 4: Simplify right side
    23,563x = 309,486,763.90
  5. Step 5: Solve for x
    x = 309,486,763.90/23,563
  6. Step 6: Final answer
    x = 13,134.44

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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.