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Finding the Fourth Proportional to 22,411.78, 33,616.86 and 6,829

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Solution

The fourth proportional to 22,411.78, 33,616.86 and 6,829 is: 10,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,411.78 : 33,616.86 = 6,829 : x
  2. Step 2: Convert to fraction form
    22,411.78/33,616.86 = 6,829/x
  3. Step 3: Cross multiply
    22,411.78x = 33,616.86 × 6,829
  4. Step 4: Simplify right side
    22,411.78x = 229,569,536.94
  5. Step 5: Solve for x
    x = 229,569,536.94/22,411.78
  6. Step 6: Final answer
    x = 10,243.25

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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.