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Finding the Fourth Proportional to 24,578.35, 36,862.58 and 7,043.47

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Solution

The fourth proportional to 24,578.35, 36,862.58 and 7,043.47 is: 10,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.35 : 36,862.58 = 7,043.47 : x
  2. Step 2: Convert to fraction form
    24,578.35/36,862.58 = 7,043.47/x
  3. Step 3: Cross multiply
    24,578.35x = 36,862.58 × 7,043.47
  4. Step 4: Simplify right side
    24,578.35x = 259,640,441.14
  5. Step 5: Solve for x
    x = 259,640,441.14/24,578.35
  6. Step 6: Final answer
    x = 10,563.79

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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.