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Finding the Fourth Proportional to 22,938, 31,654.92 and 13,002

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Solution

The fourth proportional to 22,938, 31,654.92 and 13,002 is: 17,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,938 : 31,654.92 = 13,002 : x
  2. Step 2: Convert to fraction form
    22,938/31,654.92 = 13,002/x
  3. Step 3: Cross multiply
    22,938x = 31,654.92 × 13,002
  4. Step 4: Simplify right side
    22,938x = 411,577,269.84
  5. Step 5: Solve for x
    x = 411,577,269.84/22,938
  6. Step 6: Final answer
    x = 17,943.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.