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Finding the Fourth Proportional to 16,649.40, 24,978.84 and 5,563.36

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Solution

The fourth proportional to 16,649.40, 24,978.84 and 5,563.36 is: 8,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.40 : 24,978.84 = 5,563.36 : x
  2. Step 2: Convert to fraction form
    16,649.40/24,978.84 = 5,563.36/x
  3. Step 3: Cross multiply
    16,649.40x = 24,978.84 × 5,563.36
  4. Step 4: Simplify right side
    16,649.40x = 138,966,279.30
  5. Step 5: Solve for x
    x = 138,966,279.30/16,649.40
  6. Step 6: Final answer
    x = 8,346.62

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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.