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Finding the Fourth Proportional to 22,061.84, 33,096 and 6,477.44

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Solution

The fourth proportional to 22,061.84, 33,096 and 6,477.44 is: 9,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,061.84 : 33,096 = 6,477.44 : x
  2. Step 2: Convert to fraction form
    22,061.84/33,096 = 6,477.44/x
  3. Step 3: Cross multiply
    22,061.84x = 33,096 × 6,477.44
  4. Step 4: Simplify right side
    22,061.84x = 214,377,354.24
  5. Step 5: Solve for x
    x = 214,377,354.24/22,061.84
  6. Step 6: Final answer
    x = 9,717.11

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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.