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Finding the Fourth Proportional to 22,203.44, 33,288.78 and 10,503

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Solution

The fourth proportional to 22,203.44, 33,288.78 and 10,503 is: 15,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,203.44 : 33,288.78 = 10,503 : x
  2. Step 2: Convert to fraction form
    22,203.44/33,288.78 = 10,503/x
  3. Step 3: Cross multiply
    22,203.44x = 33,288.78 × 10,503
  4. Step 4: Simplify right side
    22,203.44x = 349,632,056.34
  5. Step 5: Solve for x
    x = 349,632,056.34/22,203.44
  6. Step 6: Final answer
    x = 15,746.75

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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.