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Finding the Fourth Proportional to 22,266.88, 33,400.92 and 6,684.50

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Solution

The fourth proportional to 22,266.88, 33,400.92 and 6,684.50 is: 10,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,266.88 : 33,400.92 = 6,684.50 : x
  2. Step 2: Convert to fraction form
    22,266.88/33,400.92 = 6,684.50/x
  3. Step 3: Cross multiply
    22,266.88x = 33,400.92 × 6,684.50
  4. Step 4: Simplify right side
    22,266.88x = 223,268,449.74
  5. Step 5: Solve for x
    x = 223,268,449.74/22,266.88
  6. Step 6: Final answer
    x = 10,026.93

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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.