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Finding the Fourth Proportional to 16,273.85, 24,420.78 and 7,509.41

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Solution

The fourth proportional to 16,273.85, 24,420.78 and 7,509.41 is: 11,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,273.85 : 24,420.78 = 7,509.41 : x
  2. Step 2: Convert to fraction form
    16,273.85/24,420.78 = 7,509.41/x
  3. Step 3: Cross multiply
    16,273.85x = 24,420.78 × 7,509.41
  4. Step 4: Simplify right side
    16,273.85x = 183,385,649.54
  5. Step 5: Solve for x
    x = 183,385,649.54/16,273.85
  6. Step 6: Final answer
    x = 11,268.73

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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.