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Finding the Fourth Proportional to 22,185.50, 33,279.86 and 9,038.66

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Solution

The fourth proportional to 22,185.50, 33,279.86 and 9,038.66 is: 13,558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,185.50 : 33,279.86 = 9,038.66 : x
  2. Step 2: Convert to fraction form
    22,185.50/33,279.86 = 9,038.66/x
  3. Step 3: Cross multiply
    22,185.50x = 33,279.86 × 9,038.66
  4. Step 4: Simplify right side
    22,185.50x = 300,805,195.58
  5. Step 5: Solve for x
    x = 300,805,195.58/22,185.50
  6. Step 6: Final answer
    x = 13,558.64

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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.