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Finding the Fourth Proportional to 22,864.73, 34,288.48 and 7,867.61

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Solution

The fourth proportional to 22,864.73, 34,288.48 and 7,867.61 is: 11,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.73 : 34,288.48 = 7,867.61 : x
  2. Step 2: Convert to fraction form
    22,864.73/34,288.48 = 7,867.61/x
  3. Step 3: Cross multiply
    22,864.73x = 34,288.48 × 7,867.61
  4. Step 4: Simplify right side
    22,864.73x = 269,768,388.13
  5. Step 5: Solve for x
    x = 269,768,388.13/22,864.73
  6. Step 6: Final answer
    x = 11,798.45

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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.