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Finding the Fourth Proportional to 22,660.52, 31,274.46 and 14,165.38

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Solution

The fourth proportional to 22,660.52, 31,274.46 and 14,165.38 is: 19,550.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,660.52 : 31,274.46 = 14,165.38 : x
  2. Step 2: Convert to fraction form
    22,660.52/31,274.46 = 14,165.38/x
  3. Step 3: Cross multiply
    22,660.52x = 31,274.46 × 14,165.38
  4. Step 4: Simplify right side
    22,660.52x = 443,014,610.19
  5. Step 5: Solve for x
    x = 443,014,610.19/22,660.52
  6. Step 6: Final answer
    x = 19,550.06

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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.