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Finding the Fourth Proportional to 16,011.92, 24,020.76 and 8,214.32

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Solution

The fourth proportional to 16,011.92, 24,020.76 and 8,214.32 is: 12,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,011.92 : 24,020.76 = 8,214.32 : x
  2. Step 2: Convert to fraction form
    16,011.92/24,020.76 = 8,214.32/x
  3. Step 3: Cross multiply
    16,011.92x = 24,020.76 × 8,214.32
  4. Step 4: Simplify right side
    16,011.92x = 197,314,209.28
  5. Step 5: Solve for x
    x = 197,314,209.28/16,011.92
  6. Step 6: Final answer
    x = 12,322.96

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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.