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Finding the Fourth Proportional to 14,343.82, 19,794.48 and 8,056.24

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Solution

The fourth proportional to 14,343.82, 19,794.48 and 8,056.24 is: 11,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,343.82 : 19,794.48 = 8,056.24 : x
  2. Step 2: Convert to fraction form
    14,343.82/19,794.48 = 8,056.24/x
  3. Step 3: Cross multiply
    14,343.82x = 19,794.48 × 8,056.24
  4. Step 4: Simplify right side
    14,343.82x = 159,469,081.56
  5. Step 5: Solve for x
    x = 159,469,081.56/14,343.82
  6. Step 6: Final answer
    x = 11,117.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.