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Finding the Fourth Proportional to 22,287, 33,430.50 and 6,704.64

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Solution

The fourth proportional to 22,287, 33,430.50 and 6,704.64 is: 10,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287 : 33,430.50 = 6,704.64 : x
  2. Step 2: Convert to fraction form
    22,287/33,430.50 = 6,704.64/x
  3. Step 3: Cross multiply
    22,287x = 33,430.50 × 6,704.64
  4. Step 4: Simplify right side
    22,287x = 224,139,467.52
  5. Step 5: Solve for x
    x = 224,139,467.52/22,287
  6. Step 6: Final answer
    x = 10,056.96

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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.