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Finding the Fourth Proportional to 22,408.84, 33,618.30 and 6,828.04

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Solution

The fourth proportional to 22,408.84, 33,618.30 and 6,828.04 is: 10,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.84 : 33,618.30 = 6,828.04 : x
  2. Step 2: Convert to fraction form
    22,408.84/33,618.30 = 6,828.04/x
  3. Step 3: Cross multiply
    22,408.84x = 33,618.30 × 6,828.04
  4. Step 4: Simplify right side
    22,408.84x = 229,547,097.13
  5. Step 5: Solve for x
    x = 229,547,097.13/22,408.84
  6. Step 6: Final answer
    x = 10,243.60

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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.