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Finding the Fourth Proportional to 24,273.48, 36,406.17 and 6,745.08

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Solution

The fourth proportional to 24,273.48, 36,406.17 and 6,745.08 is: 10,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,273.48 : 36,406.17 = 6,745.08 : x
  2. Step 2: Convert to fraction form
    24,273.48/36,406.17 = 6,745.08/x
  3. Step 3: Cross multiply
    24,273.48x = 36,406.17 × 6,745.08
  4. Step 4: Simplify right side
    24,273.48x = 245,562,529.14
  5. Step 5: Solve for x
    x = 245,562,529.14/24,273.48
  6. Step 6: Final answer
    x = 10,116.49

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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.