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Finding the Fourth Proportional to 22,196, 33,310.40 and 10,509.22

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Solution

The fourth proportional to 22,196, 33,310.40 and 10,509.22 is: 15,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196 : 33,310.40 = 10,509.22 : x
  2. Step 2: Convert to fraction form
    22,196/33,310.40 = 10,509.22/x
  3. Step 3: Cross multiply
    22,196x = 33,310.40 × 10,509.22
  4. Step 4: Simplify right side
    22,196x = 350,066,321.89
  5. Step 5: Solve for x
    x = 350,066,321.89/22,196
  6. Step 6: Final answer
    x = 15,771.59

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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.