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Finding the Fourth Proportional to 22,765.80, 31,436.22 and 14,282.22

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Solution

The fourth proportional to 22,765.80, 31,436.22 and 14,282.22 is: 19,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.80 : 31,436.22 = 14,282.22 : x
  2. Step 2: Convert to fraction form
    22,765.80/31,436.22 = 14,282.22/x
  3. Step 3: Cross multiply
    22,765.80x = 31,436.22 × 14,282.22
  4. Step 4: Simplify right side
    22,765.80x = 448,979,010.01
  5. Step 5: Solve for x
    x = 448,979,010.01/22,765.80
  6. Step 6: Final answer
    x = 19,721.64

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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.