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Finding the Fourth Proportional to 22,084.56, 33,123.12 and 6,288.48

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Solution

The fourth proportional to 22,084.56, 33,123.12 and 6,288.48 is: 9,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,084.56 : 33,123.12 = 6,288.48 : x
  2. Step 2: Convert to fraction form
    22,084.56/33,123.12 = 6,288.48/x
  3. Step 3: Cross multiply
    22,084.56x = 33,123.12 × 6,288.48
  4. Step 4: Simplify right side
    22,084.56x = 208,294,077.66
  5. Step 5: Solve for x
    x = 208,294,077.66/22,084.56
  6. Step 6: Final answer
    x = 9,431.66

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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.