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Finding the Fourth Proportional to 18,164.82, 25,066.76 and 10,207.38

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Solution

The fourth proportional to 18,164.82, 25,066.76 and 10,207.38 is: 14,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164.82 : 25,066.76 = 10,207.38 : x
  2. Step 2: Convert to fraction form
    18,164.82/25,066.76 = 10,207.38/x
  3. Step 3: Cross multiply
    18,164.82x = 25,066.76 × 10,207.38
  4. Step 4: Simplify right side
    18,164.82x = 255,865,893.65
  5. Step 5: Solve for x
    x = 255,865,893.65/18,164.82
  6. Step 6: Final answer
    x = 14,085.79

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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.