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Finding the Fourth Proportional to 22,314.50, 33,448.40 and 7,518.31

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Solution

The fourth proportional to 22,314.50, 33,448.40 and 7,518.31 is: 11,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.50 : 33,448.40 = 7,518.31 : x
  2. Step 2: Convert to fraction form
    22,314.50/33,448.40 = 7,518.31/x
  3. Step 3: Cross multiply
    22,314.50x = 33,448.40 × 7,518.31
  4. Step 4: Simplify right side
    22,314.50x = 251,475,318.99
  5. Step 5: Solve for x
    x = 251,475,318.99/22,314.50
  6. Step 6: Final answer
    x = 11,269.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.