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Finding the Fourth Proportional to 22,072.50, 33,086.88 and 10,364.76

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Solution

The fourth proportional to 22,072.50, 33,086.88 and 10,364.76 is: 15,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,072.50 : 33,086.88 = 10,364.76 : x
  2. Step 2: Convert to fraction form
    22,072.50/33,086.88 = 10,364.76/x
  3. Step 3: Cross multiply
    22,072.50x = 33,086.88 × 10,364.76
  4. Step 4: Simplify right side
    22,072.50x = 342,937,570.35
  5. Step 5: Solve for x
    x = 342,937,570.35/22,072.50
  6. Step 6: Final answer
    x = 15,536.87

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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.