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Finding the Fourth Proportional to 22,316.50, 33,445.36 and 10,468.43

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Solution

The fourth proportional to 22,316.50, 33,445.36 and 10,468.43 is: 15,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,316.50 : 33,445.36 = 10,468.43 : x
  2. Step 2: Convert to fraction form
    22,316.50/33,445.36 = 10,468.43/x
  3. Step 3: Cross multiply
    22,316.50x = 33,445.36 × 10,468.43
  4. Step 4: Simplify right side
    22,316.50x = 350,120,190.42
  5. Step 5: Solve for x
    x = 350,120,190.42/22,316.50
  6. Step 6: Final answer
    x = 15,688.85

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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.