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Finding the Fourth Proportional to 22,648.62, 33,960.60 and 7,856.40

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Solution

The fourth proportional to 22,648.62, 33,960.60 and 7,856.40 is: 11,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.62 : 33,960.60 = 7,856.40 : x
  2. Step 2: Convert to fraction form
    22,648.62/33,960.60 = 7,856.40/x
  3. Step 3: Cross multiply
    22,648.62x = 33,960.60 × 7,856.40
  4. Step 4: Simplify right side
    22,648.62x = 266,808,057.84
  5. Step 5: Solve for x
    x = 266,808,057.84/22,648.62
  6. Step 6: Final answer
    x = 11,780.32

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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.