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Finding the Fourth Proportional to 22,313.14, 33,448.70 and 7,511.72

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Solution

The fourth proportional to 22,313.14, 33,448.70 and 7,511.72 is: 11,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,313.14 : 33,448.70 = 7,511.72 : x
  2. Step 2: Convert to fraction form
    22,313.14/33,448.70 = 7,511.72/x
  3. Step 3: Cross multiply
    22,313.14x = 33,448.70 × 7,511.72
  4. Step 4: Simplify right side
    22,313.14x = 251,257,120.30
  5. Step 5: Solve for x
    x = 251,257,120.30/22,313.14
  6. Step 6: Final answer
    x = 11,260.50

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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.