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Finding the Fourth Proportional to 22,569.64, 33,817.26 and 7,770.52

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Solution

The fourth proportional to 22,569.64, 33,817.26 and 7,770.52 is: 11,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,569.64 : 33,817.26 = 7,770.52 : x
  2. Step 2: Convert to fraction form
    22,569.64/33,817.26 = 7,770.52/x
  3. Step 3: Cross multiply
    22,569.64x = 33,817.26 × 7,770.52
  4. Step 4: Simplify right side
    22,569.64x = 262,777,695.18
  5. Step 5: Solve for x
    x = 262,777,695.18/22,569.64
  6. Step 6: Final answer
    x = 11,642.97

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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.