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Finding the Fourth Proportional to 16,118.20, 24,181.38 and 7,802.20

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Solution

The fourth proportional to 16,118.20, 24,181.38 and 7,802.20 is: 11,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,118.20 : 24,181.38 = 7,802.20 : x
  2. Step 2: Convert to fraction form
    16,118.20/24,181.38 = 7,802.20/x
  3. Step 3: Cross multiply
    16,118.20x = 24,181.38 × 7,802.20
  4. Step 4: Simplify right side
    16,118.20x = 188,667,963.04
  5. Step 5: Solve for x
    x = 188,667,963.04/16,118.20
  6. Step 6: Final answer
    x = 11,705.27

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1.5x scale

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.