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Finding the Fourth Proportional to 18,705.65, 25,814.42 and 10,208.24

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Solution

The fourth proportional to 18,705.65, 25,814.42 and 10,208.24 is: 14,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705.65 : 25,814.42 = 10,208.24 : x
  2. Step 2: Convert to fraction form
    18,705.65/25,814.42 = 10,208.24/x
  3. Step 3: Cross multiply
    18,705.65x = 25,814.42 × 10,208.24
  4. Step 4: Simplify right side
    18,705.65x = 263,519,614.71
  5. Step 5: Solve for x
    x = 263,519,614.71/18,705.65
  6. Step 6: Final answer
    x = 14,087.71

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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.