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Finding the Fourth Proportional to 16,009.32, 24,013.98 and 8,213.16

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Solution

The fourth proportional to 16,009.32, 24,013.98 and 8,213.16 is: 12,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.32 : 24,013.98 = 8,213.16 : x
  2. Step 2: Convert to fraction form
    16,009.32/24,013.98 = 8,213.16/x
  3. Step 3: Cross multiply
    16,009.32x = 24,013.98 × 8,213.16
  4. Step 4: Simplify right side
    16,009.32x = 197,230,659.98
  5. Step 5: Solve for x
    x = 197,230,659.98/16,009.32
  6. Step 6: Final answer
    x = 12,319.74

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Similar ratio
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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.