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Finding the Fourth Proportional to 16,187.92, 24,262.42 and 6,824.32

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Solution

The fourth proportional to 16,187.92, 24,262.42 and 6,824.32 is: 10,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.92 : 24,262.42 = 6,824.32 : x
  2. Step 2: Convert to fraction form
    16,187.92/24,262.42 = 6,824.32/x
  3. Step 3: Cross multiply
    16,187.92x = 24,262.42 × 6,824.32
  4. Step 4: Simplify right side
    16,187.92x = 165,574,518.05
  5. Step 5: Solve for x
    x = 165,574,518.05/16,187.92
  6. Step 6: Final answer
    x = 10,228.28

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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.