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Finding the Fourth Proportional to 14,843.46, 20,484.09 and 8,129.71

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Solution

The fourth proportional to 14,843.46, 20,484.09 and 8,129.71 is: 11,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.46 : 20,484.09 = 8,129.71 : x
  2. Step 2: Convert to fraction form
    14,843.46/20,484.09 = 8,129.71/x
  3. Step 3: Cross multiply
    14,843.46x = 20,484.09 × 8,129.71
  4. Step 4: Simplify right side
    14,843.46x = 166,529,711.31
  5. Step 5: Solve for x
    x = 166,529,711.31/14,843.46
  6. Step 6: Final answer
    x = 11,219.06

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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.