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Finding the Fourth Proportional to 24,563.68, 36,845.40 and 7,033.50

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Solution

The fourth proportional to 24,563.68, 36,845.40 and 7,033.50 is: 10,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.68 : 36,845.40 = 7,033.50 : x
  2. Step 2: Convert to fraction form
    24,563.68/36,845.40 = 7,033.50/x
  3. Step 3: Cross multiply
    24,563.68x = 36,845.40 × 7,033.50
  4. Step 4: Simplify right side
    24,563.68x = 259,152,120.90
  5. Step 5: Solve for x
    x = 259,152,120.90/24,563.68
  6. Step 6: Final answer
    x = 10,550.22

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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.