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Finding the Fourth Proportional to 22,081.01, 33,089.31 and 10,238.40

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Solution

The fourth proportional to 22,081.01, 33,089.31 and 10,238.40 is: 15,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,081.01 : 33,089.31 = 10,238.40 : x
  2. Step 2: Convert to fraction form
    22,081.01/33,089.31 = 10,238.40/x
  3. Step 3: Cross multiply
    22,081.01x = 33,089.31 × 10,238.40
  4. Step 4: Simplify right side
    22,081.01x = 338,781,591.50
  5. Step 5: Solve for x
    x = 338,781,591.50/22,081.01
  6. Step 6: Final answer
    x = 15,342.67

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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.