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Finding the Fourth Proportional to 18,670, 25,764.68 and 10,286.32

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Solution

The fourth proportional to 18,670, 25,764.68 and 10,286.32 is: 14,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,670 : 25,764.68 = 10,286.32 : x
  2. Step 2: Convert to fraction form
    18,670/25,764.68 = 10,286.32/x
  3. Step 3: Cross multiply
    18,670x = 25,764.68 × 10,286.32
  4. Step 4: Simplify right side
    18,670x = 265,023,743.18
  5. Step 5: Solve for x
    x = 265,023,743.18/18,670
  6. Step 6: Final answer
    x = 14,195.17

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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.