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Finding the Fourth Proportional to 22,404.34, 33,606.51 and 6,822.10

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Solution

The fourth proportional to 22,404.34, 33,606.51 and 6,822.10 is: 10,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,404.34 : 33,606.51 = 6,822.10 : x
  2. Step 2: Convert to fraction form
    22,404.34/33,606.51 = 6,822.10/x
  3. Step 3: Cross multiply
    22,404.34x = 33,606.51 × 6,822.10
  4. Step 4: Simplify right side
    22,404.34x = 229,266,971.87
  5. Step 5: Solve for x
    x = 229,266,971.87/22,404.34
  6. Step 6: Final answer
    x = 10,233.15

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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.