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Finding the Fourth Proportional to 22,366.30, 33,536.70 and 9,203

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Solution

The fourth proportional to 22,366.30, 33,536.70 and 9,203 is: 13,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,366.30 : 33,536.70 = 9,203 : x
  2. Step 2: Convert to fraction form
    22,366.30/33,536.70 = 9,203/x
  3. Step 3: Cross multiply
    22,366.30x = 33,536.70 × 9,203
  4. Step 4: Simplify right side
    22,366.30x = 308,638,250.10
  5. Step 5: Solve for x
    x = 308,638,250.10/22,366.30
  6. Step 6: Final answer
    x = 13,799.25

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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.