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Finding the Fourth Proportional to 22,283.87, 33,430.25 and 7,295.22

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Solution

The fourth proportional to 22,283.87, 33,430.25 and 7,295.22 is: 10,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,283.87 : 33,430.25 = 7,295.22 : x
  2. Step 2: Convert to fraction form
    22,283.87/33,430.25 = 7,295.22/x
  3. Step 3: Cross multiply
    22,283.87x = 33,430.25 × 7,295.22
  4. Step 4: Simplify right side
    22,283.87x = 243,881,046.64
  5. Step 5: Solve for x
    x = 243,881,046.64/22,283.87
  6. Step 6: Final answer
    x = 10,944.29

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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.