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Finding the Fourth Proportional to 24,644.36, 36,969.60 and 9,649.54

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Solution

The fourth proportional to 24,644.36, 36,969.60 and 9,649.54 is: 14,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.36 : 36,969.60 = 9,649.54 : x
  2. Step 2: Convert to fraction form
    24,644.36/36,969.60 = 9,649.54/x
  3. Step 3: Cross multiply
    24,644.36x = 36,969.60 × 9,649.54
  4. Step 4: Simplify right side
    24,644.36x = 356,739,449.14
  5. Step 5: Solve for x
    x = 356,739,449.14/24,644.36
  6. Step 6: Final answer
    x = 14,475.50

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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.