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Finding the Fourth Proportional to 22,318.56, 33,464.88 and 8,460

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Solution

The fourth proportional to 22,318.56, 33,464.88 and 8,460 is: 12,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,318.56 : 33,464.88 = 8,460 : x
  2. Step 2: Convert to fraction form
    22,318.56/33,464.88 = 8,460/x
  3. Step 3: Cross multiply
    22,318.56x = 33,464.88 × 8,460
  4. Step 4: Simplify right side
    22,318.56x = 283,112,884.80
  5. Step 5: Solve for x
    x = 283,112,884.80/22,318.56
  6. Step 6: Final answer
    x = 12,685.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.