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Finding the Fourth Proportional to 22,798.80, 31,462.32 and 13,843.92

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Solution

The fourth proportional to 22,798.80, 31,462.32 and 13,843.92 is: 19,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,798.80 : 31,462.32 = 13,843.92 : x
  2. Step 2: Convert to fraction form
    22,798.80/31,462.32 = 13,843.92/x
  3. Step 3: Cross multiply
    22,798.80x = 31,462.32 × 13,843.92
  4. Step 4: Simplify right side
    22,798.80x = 435,561,841.09
  5. Step 5: Solve for x
    x = 435,561,841.09/22,798.80
  6. Step 6: Final answer
    x = 19,104.60

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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.