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Finding the Fourth Proportional to 22,813.14, 34,220.93 and 7,231.98

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Solution

The fourth proportional to 22,813.14, 34,220.93 and 7,231.98 is: 10,848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.14 : 34,220.93 = 7,231.98 : x
  2. Step 2: Convert to fraction form
    22,813.14/34,220.93 = 7,231.98/x
  3. Step 3: Cross multiply
    22,813.14x = 34,220.93 × 7,231.98
  4. Step 4: Simplify right side
    22,813.14x = 247,485,081.34
  5. Step 5: Solve for x
    x = 247,485,081.34/22,813.14
  6. Step 6: Final answer
    x = 10,848.36

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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.