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Finding the Fourth Proportional to 22,548.47, 33,817.85 and 8,313.53

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Solution

The fourth proportional to 22,548.47, 33,817.85 and 8,313.53 is: 12,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548.47 : 33,817.85 = 8,313.53 : x
  2. Step 2: Convert to fraction form
    22,548.47/33,817.85 = 8,313.53/x
  3. Step 3: Cross multiply
    22,548.47x = 33,817.85 × 8,313.53
  4. Step 4: Simplify right side
    22,548.47x = 281,145,668.94
  5. Step 5: Solve for x
    x = 281,145,668.94/22,548.47
  6. Step 6: Final answer
    x = 12,468.50

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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.