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Finding the Fourth Proportional to 22,471.42, 31,010.32 and 12,399.94

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Solution

The fourth proportional to 22,471.42, 31,010.32 and 12,399.94 is: 17,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.42 : 31,010.32 = 12,399.94 : x
  2. Step 2: Convert to fraction form
    22,471.42/31,010.32 = 12,399.94/x
  3. Step 3: Cross multiply
    22,471.42x = 31,010.32 × 12,399.94
  4. Step 4: Simplify right side
    22,471.42x = 384,526,107.38
  5. Step 5: Solve for x
    x = 384,526,107.38/22,471.42
  6. Step 6: Final answer
    x = 17,111.78

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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.