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Finding the Fourth Proportional to 22,674.15, 31,288.14 and 13,114.24

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Solution

The fourth proportional to 22,674.15, 31,288.14 and 13,114.24 is: 18,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.15 : 31,288.14 = 13,114.24 : x
  2. Step 2: Convert to fraction form
    22,674.15/31,288.14 = 13,114.24/x
  3. Step 3: Cross multiply
    22,674.15x = 31,288.14 × 13,114.24
  4. Step 4: Simplify right side
    22,674.15x = 410,320,098.89
  5. Step 5: Solve for x
    x = 410,320,098.89/22,674.15
  6. Step 6: Final answer
    x = 18,096.38

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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.