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Finding the Fourth Proportional to 22,498.24, 33,747.90 and 6,916

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Solution

The fourth proportional to 22,498.24, 33,747.90 and 6,916 is: 10,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,498.24 : 33,747.90 = 6,916 : x
  2. Step 2: Convert to fraction form
    22,498.24/33,747.90 = 6,916/x
  3. Step 3: Cross multiply
    22,498.24x = 33,747.90 × 6,916
  4. Step 4: Simplify right side
    22,498.24x = 233,400,476.40
  5. Step 5: Solve for x
    x = 233,400,476.40/22,498.24
  6. Step 6: Final answer
    x = 10,374.17

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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.