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Finding the Fourth Proportional to 22,261.46, 33,404.50 and 9,123.06

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Solution

The fourth proportional to 22,261.46, 33,404.50 and 9,123.06 is: 13,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,261.46 : 33,404.50 = 9,123.06 : x
  2. Step 2: Convert to fraction form
    22,261.46/33,404.50 = 9,123.06/x
  3. Step 3: Cross multiply
    22,261.46x = 33,404.50 × 9,123.06
  4. Step 4: Simplify right side
    22,261.46x = 304,751,257.77
  5. Step 5: Solve for x
    x = 304,751,257.77/22,261.46
  6. Step 6: Final answer
    x = 13,689.63

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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.