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Finding the Fourth Proportional to 22,767.28, 34,130.24 and 7,968.12

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Solution

The fourth proportional to 22,767.28, 34,130.24 and 7,968.12 is: 11,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767.28 : 34,130.24 = 7,968.12 : x
  2. Step 2: Convert to fraction form
    22,767.28/34,130.24 = 7,968.12/x
  3. Step 3: Cross multiply
    22,767.28x = 34,130.24 × 7,968.12
  4. Step 4: Simplify right side
    22,767.28x = 271,953,881.39
  5. Step 5: Solve for x
    x = 271,953,881.39/22,767.28
  6. Step 6: Final answer
    x = 11,944.95

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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.