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Finding the Fourth Proportional to 23,568.12, 35,297.28 and 11,853

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Solution

The fourth proportional to 23,568.12, 35,297.28 and 11,853 is: 17,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,568.12 : 35,297.28 = 11,853 : x
  2. Step 2: Convert to fraction form
    23,568.12/35,297.28 = 11,853/x
  3. Step 3: Cross multiply
    23,568.12x = 35,297.28 × 11,853
  4. Step 4: Simplify right side
    23,568.12x = 418,378,659.84
  5. Step 5: Solve for x
    x = 418,378,659.84/23,568.12
  6. Step 6: Final answer
    x = 17,751.89

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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.