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Finding the Fourth Proportional to 22,138.60, 33,204.06 and 7,346.92

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Solution

The fourth proportional to 22,138.60, 33,204.06 and 7,346.92 is: 11,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.60 : 33,204.06 = 7,346.92 : x
  2. Step 2: Convert to fraction form
    22,138.60/33,204.06 = 7,346.92/x
  3. Step 3: Cross multiply
    22,138.60x = 33,204.06 × 7,346.92
  4. Step 4: Simplify right side
    22,138.60x = 243,947,572.50
  5. Step 5: Solve for x
    x = 243,947,572.50/22,138.60
  6. Step 6: Final answer
    x = 11,019.11

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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.