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Finding the Fourth Proportional to 24,817.25, 37,204 and 9,223.94

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Solution

The fourth proportional to 24,817.25, 37,204 and 9,223.94 is: 13,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,817.25 : 37,204 = 9,223.94 : x
  2. Step 2: Convert to fraction form
    24,817.25/37,204 = 9,223.94/x
  3. Step 3: Cross multiply
    24,817.25x = 37,204 × 9,223.94
  4. Step 4: Simplify right side
    24,817.25x = 343,167,463.76
  5. Step 5: Solve for x
    x = 343,167,463.76/24,817.25
  6. Step 6: Final answer
    x = 13,827.78

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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.