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Finding the Fourth Proportional to 22,683.40, 34,022.70 and 7,100.20

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Solution

The fourth proportional to 22,683.40, 34,022.70 and 7,100.20 is: 10,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.40 : 34,022.70 = 7,100.20 : x
  2. Step 2: Convert to fraction form
    22,683.40/34,022.70 = 7,100.20/x
  3. Step 3: Cross multiply
    22,683.40x = 34,022.70 × 7,100.20
  4. Step 4: Simplify right side
    22,683.40x = 241,567,974.54
  5. Step 5: Solve for x
    x = 241,567,974.54/22,683.40
  6. Step 6: Final answer
    x = 10,649.55

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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.