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Finding the Fourth Proportional to 22,195.01, 33,291.99 and 10,336

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Solution

The fourth proportional to 22,195.01, 33,291.99 and 10,336 is: 15,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,195.01 : 33,291.99 = 10,336 : x
  2. Step 2: Convert to fraction form
    22,195.01/33,291.99 = 10,336/x
  3. Step 3: Cross multiply
    22,195.01x = 33,291.99 × 10,336
  4. Step 4: Simplify right side
    22,195.01x = 344,106,008.64
  5. Step 5: Solve for x
    x = 344,106,008.64/22,195.01
  6. Step 6: Final answer
    x = 15,503.76

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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.