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Finding the Fourth Proportional to 22,511.32, 33,756.72 and 9,355.84

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Solution

The fourth proportional to 22,511.32, 33,756.72 and 9,355.84 is: 14,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.32 : 33,756.72 = 9,355.84 : x
  2. Step 2: Convert to fraction form
    22,511.32/33,756.72 = 9,355.84/x
  3. Step 3: Cross multiply
    22,511.32x = 33,756.72 × 9,355.84
  4. Step 4: Simplify right side
    22,511.32x = 315,822,471.24
  5. Step 5: Solve for x
    x = 315,822,471.24/22,511.32
  6. Step 6: Final answer
    x = 14,029.50

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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.