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Finding the Fourth Proportional to 23,902.68, 35,853.88 and 6,133.24

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Solution

The fourth proportional to 23,902.68, 35,853.88 and 6,133.24 is: 9,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.68 : 35,853.88 = 6,133.24 : x
  2. Step 2: Convert to fraction form
    23,902.68/35,853.88 = 6,133.24/x
  3. Step 3: Cross multiply
    23,902.68x = 35,853.88 × 6,133.24
  4. Step 4: Simplify right side
    23,902.68x = 219,900,450.97
  5. Step 5: Solve for x
    x = 219,900,450.97/23,902.68
  6. Step 6: Final answer
    x = 9,199.82

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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.