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Finding the Fourth Proportional to 22,758.30, 34,137.18 and 7,962.84

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Solution

The fourth proportional to 22,758.30, 34,137.18 and 7,962.84 is: 11,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.30 : 34,137.18 = 7,962.84 : x
  2. Step 2: Convert to fraction form
    22,758.30/34,137.18 = 7,962.84/x
  3. Step 3: Cross multiply
    22,758.30x = 34,137.18 × 7,962.84
  4. Step 4: Simplify right side
    22,758.30x = 271,828,902.39
  5. Step 5: Solve for x
    x = 271,828,902.39/22,758.30
  6. Step 6: Final answer
    x = 11,944.17

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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.