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Finding the Fourth Proportional to 24,222, 36,342.12 and 7,806

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Solution

The fourth proportional to 24,222, 36,342.12 and 7,806 is: 11,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,222 : 36,342.12 = 7,806 : x
  2. Step 2: Convert to fraction form
    24,222/36,342.12 = 7,806/x
  3. Step 3: Cross multiply
    24,222x = 36,342.12 × 7,806
  4. Step 4: Simplify right side
    24,222x = 283,686,588.72
  5. Step 5: Solve for x
    x = 283,686,588.72/24,222
  6. Step 6: Final answer
    x = 11,711.94

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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.