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Finding the Fourth Proportional to 14,311.14, 19,751.13 and 9,006.18

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Solution

The fourth proportional to 14,311.14, 19,751.13 and 9,006.18 is: 12,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.14 : 19,751.13 = 9,006.18 : x
  2. Step 2: Convert to fraction form
    14,311.14/19,751.13 = 9,006.18/x
  3. Step 3: Cross multiply
    14,311.14x = 19,751.13 × 9,006.18
  4. Step 4: Simplify right side
    14,311.14x = 177,882,231.98
  5. Step 5: Solve for x
    x = 177,882,231.98/14,311.14
  6. Step 6: Final answer
    x = 12,429.63

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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.