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Finding the Fourth Proportional to 22,382.58, 33,575.76 and 6,800.34

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Solution

The fourth proportional to 22,382.58, 33,575.76 and 6,800.34 is: 10,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.58 : 33,575.76 = 6,800.34 : x
  2. Step 2: Convert to fraction form
    22,382.58/33,575.76 = 6,800.34/x
  3. Step 3: Cross multiply
    22,382.58x = 33,575.76 × 6,800.34
  4. Step 4: Simplify right side
    22,382.58x = 228,326,583.76
  5. Step 5: Solve for x
    x = 228,326,583.76/22,382.58
  6. Step 6: Final answer
    x = 10,201.08

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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.