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Finding the Fourth Proportional to 23,036, 31,790.16 and 13,614.56

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Solution

The fourth proportional to 23,036, 31,790.16 and 13,614.56 is: 18,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,036 : 31,790.16 = 13,614.56 : x
  2. Step 2: Convert to fraction form
    23,036/31,790.16 = 13,614.56/x
  3. Step 3: Cross multiply
    23,036x = 31,790.16 × 13,614.56
  4. Step 4: Simplify right side
    23,036x = 432,809,040.73
  5. Step 5: Solve for x
    x = 432,809,040.73/23,036
  6. Step 6: Final answer
    x = 18,788.38

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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.