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Finding the Fourth Proportional to 16,109.46, 24,165.99 and 4,422.42

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Solution

The fourth proportional to 16,109.46, 24,165.99 and 4,422.42 is: 6,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.46 : 24,165.99 = 4,422.42 : x
  2. Step 2: Convert to fraction form
    16,109.46/24,165.99 = 4,422.42/x
  3. Step 3: Cross multiply
    16,109.46x = 24,165.99 × 4,422.42
  4. Step 4: Simplify right side
    16,109.46x = 106,872,157.50
  5. Step 5: Solve for x
    x = 106,872,157.50/16,109.46
  6. Step 6: Final answer
    x = 6,634.12

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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.