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Finding the Fourth Proportional to 27,780.66, 38,333.94 and 22,129.80

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Solution

The fourth proportional to 27,780.66, 38,333.94 and 22,129.80 is: 30,536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.66 : 38,333.94 = 22,129.80 : x
  2. Step 2: Convert to fraction form
    27,780.66/38,333.94 = 22,129.80/x
  3. Step 3: Cross multiply
    27,780.66x = 38,333.94 × 22,129.80
  4. Step 4: Simplify right side
    27,780.66x = 848,322,425.41
  5. Step 5: Solve for x
    x = 848,322,425.41/27,780.66
  6. Step 6: Final answer
    x = 30,536.44

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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.