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Finding the Fourth Proportional to 22,063.20, 33,046.20 and 19,147.20

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Solution

The fourth proportional to 22,063.20, 33,046.20 and 19,147.20 is: 28,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,063.20 : 33,046.20 = 19,147.20 : x
  2. Step 2: Convert to fraction form
    22,063.20/33,046.20 = 19,147.20/x
  3. Step 3: Cross multiply
    22,063.20x = 33,046.20 × 19,147.20
  4. Step 4: Simplify right side
    22,063.20x = 632,742,200.64
  5. Step 5: Solve for x
    x = 632,742,200.64/22,063.20
  6. Step 6: Final answer
    x = 28,678.62

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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.