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Finding the Fourth Proportional to 22,874.13, 34,313.42 and 7,078.52

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Solution

The fourth proportional to 22,874.13, 34,313.42 and 7,078.52 is: 10,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.13 : 34,313.42 = 7,078.52 : x
  2. Step 2: Convert to fraction form
    22,874.13/34,313.42 = 7,078.52/x
  3. Step 3: Cross multiply
    22,874.13x = 34,313.42 × 7,078.52
  4. Step 4: Simplify right side
    22,874.13x = 242,888,333.22
  5. Step 5: Solve for x
    x = 242,888,333.22/22,874.13
  6. Step 6: Final answer
    x = 10,618.47

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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.