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Finding the Fourth Proportional to 22,316.14, 33,474.21 and 9,164.98

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Solution

The fourth proportional to 22,316.14, 33,474.21 and 9,164.98 is: 13,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,316.14 : 33,474.21 = 9,164.98 : x
  2. Step 2: Convert to fraction form
    22,316.14/33,474.21 = 9,164.98/x
  3. Step 3: Cross multiply
    22,316.14x = 33,474.21 × 9,164.98
  4. Step 4: Simplify right side
    22,316.14x = 306,790,465.17
  5. Step 5: Solve for x
    x = 306,790,465.17/22,316.14
  6. Step 6: Final answer
    x = 13,747.47

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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.