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Finding the Fourth Proportional to 22,878.09, 34,318.35 and 7,294.50

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Solution

The fourth proportional to 22,878.09, 34,318.35 and 7,294.50 is: 10,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878.09 : 34,318.35 = 7,294.50 : x
  2. Step 2: Convert to fraction form
    22,878.09/34,318.35 = 7,294.50/x
  3. Step 3: Cross multiply
    22,878.09x = 34,318.35 × 7,294.50
  4. Step 4: Simplify right side
    22,878.09x = 250,335,204.08
  5. Step 5: Solve for x
    x = 250,335,204.08/22,878.09
  6. Step 6: Final answer
    x = 10,942.14

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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.