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Finding the Fourth Proportional to 16,112, 24,168 and 5,724.16

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Solution

The fourth proportional to 16,112, 24,168 and 5,724.16 is: 8,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,112 : 24,168 = 5,724.16 : x
  2. Step 2: Convert to fraction form
    16,112/24,168 = 5,724.16/x
  3. Step 3: Cross multiply
    16,112x = 24,168 × 5,724.16
  4. Step 4: Simplify right side
    16,112x = 138,341,498.88
  5. Step 5: Solve for x
    x = 138,341,498.88/16,112
  6. Step 6: Final answer
    x = 8,586.24

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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.