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Finding the Fourth Proportional to 22,575.98, 33,866.71 and 10,881

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Solution

The fourth proportional to 22,575.98, 33,866.71 and 10,881 is: 16,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575.98 : 33,866.71 = 10,881 : x
  2. Step 2: Convert to fraction form
    22,575.98/33,866.71 = 10,881/x
  3. Step 3: Cross multiply
    22,575.98x = 33,866.71 × 10,881
  4. Step 4: Simplify right side
    22,575.98x = 368,503,644.31
  5. Step 5: Solve for x
    x = 368,503,644.31/22,575.98
  6. Step 6: Final answer
    x = 16,322.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.