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Finding the Fourth Proportional to 16,649.68, 24,978.84 and 8,329.36

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Solution

The fourth proportional to 16,649.68, 24,978.84 and 8,329.36 is: 12,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.68 : 24,978.84 = 8,329.36 : x
  2. Step 2: Convert to fraction form
    16,649.68/24,978.84 = 8,329.36/x
  3. Step 3: Cross multiply
    16,649.68x = 24,978.84 × 8,329.36
  4. Step 4: Simplify right side
    16,649.68x = 208,057,750.74
  5. Step 5: Solve for x
    x = 208,057,750.74/16,649.68
  6. Step 6: Final answer
    x = 12,496.20

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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.