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Finding the Fourth Proportional to 22,798.38, 31,474.85 and 17,378.27

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Solution

The fourth proportional to 22,798.38, 31,474.85 and 17,378.27 is: 23,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,798.38 : 31,474.85 = 17,378.27 : x
  2. Step 2: Convert to fraction form
    22,798.38/31,474.85 = 17,378.27/x
  3. Step 3: Cross multiply
    22,798.38x = 31,474.85 × 17,378.27
  4. Step 4: Simplify right side
    22,798.38x = 546,978,327.58
  5. Step 5: Solve for x
    x = 546,978,327.58/22,798.38
  6. Step 6: Final answer
    x = 23,991.98

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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.