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Finding the Fourth Proportional to 16,118, 24,214.06 and 11,449.36

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Solution

The fourth proportional to 16,118, 24,214.06 and 11,449.36 is: 17,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,118 : 24,214.06 = 11,449.36 : x
  2. Step 2: Convert to fraction form
    16,118/24,214.06 = 11,449.36/x
  3. Step 3: Cross multiply
    16,118x = 24,214.06 × 11,449.36
  4. Step 4: Simplify right side
    16,118x = 277,235,490.00
  5. Step 5: Solve for x
    x = 277,235,490.00/16,118
  6. Step 6: Final answer
    x = 17,200.37

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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.