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Finding the Fourth Proportional to 16,649.92, 24,978.38 and 4,803.57

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Solution

The fourth proportional to 16,649.92, 24,978.38 and 4,803.57 is: 7,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.92 : 24,978.38 = 4,803.57 : x
  2. Step 2: Convert to fraction form
    16,649.92/24,978.38 = 4,803.57/x
  3. Step 3: Cross multiply
    16,649.92x = 24,978.38 × 4,803.57
  4. Step 4: Simplify right side
    16,649.92x = 119,985,372.80
  5. Step 5: Solve for x
    x = 119,985,372.80/16,649.92
  6. Step 6: Final answer
    x = 7,206.36

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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.