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Finding the Fourth Proportional to 15,097.50, 22,649.49 and 5,863.50

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Solution

The fourth proportional to 15,097.50, 22,649.49 and 5,863.50 is: 8,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.50 : 22,649.49 = 5,863.50 : x
  2. Step 2: Convert to fraction form
    15,097.50/22,649.49 = 5,863.50/x
  3. Step 3: Cross multiply
    15,097.50x = 22,649.49 × 5,863.50
  4. Step 4: Simplify right side
    15,097.50x = 132,805,284.62
  5. Step 5: Solve for x
    x = 132,805,284.62/15,097.50
  6. Step 6: Final answer
    x = 8,796.51

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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.