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Finding the Fourth Proportional to 22,765.63, 31,414.03 and 13,815.31

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Solution

The fourth proportional to 22,765.63, 31,414.03 and 13,815.31 is: 19,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.63 : 31,414.03 = 13,815.31 : x
  2. Step 2: Convert to fraction form
    22,765.63/31,414.03 = 13,815.31/x
  3. Step 3: Cross multiply
    22,765.63x = 31,414.03 × 13,815.31
  4. Step 4: Simplify right side
    22,765.63x = 433,994,562.80
  5. Step 5: Solve for x
    x = 433,994,562.80/22,765.63
  6. Step 6: Final answer
    x = 19,063.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.