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Finding the Fourth Proportional to 24,142.80, 36,201.24 and 7,495.68

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Solution

The fourth proportional to 24,142.80, 36,201.24 and 7,495.68 is: 11,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.80 : 36,201.24 = 7,495.68 : x
  2. Step 2: Convert to fraction form
    24,142.80/36,201.24 = 7,495.68/x
  3. Step 3: Cross multiply
    24,142.80x = 36,201.24 × 7,495.68
  4. Step 4: Simplify right side
    24,142.80x = 271,352,910.64
  5. Step 5: Solve for x
    x = 271,352,910.64/24,142.80
  6. Step 6: Final answer
    x = 11,239.50

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1.5x scale

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.