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Finding the Fourth Proportional to 18,323, 25,282.86 and 10,362.68

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Solution

The fourth proportional to 18,323, 25,282.86 and 10,362.68 is: 14,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,323 : 25,282.86 = 10,362.68 : x
  2. Step 2: Convert to fraction form
    18,323/25,282.86 = 10,362.68/x
  3. Step 3: Cross multiply
    18,323x = 25,282.86 × 10,362.68
  4. Step 4: Simplify right side
    18,323x = 261,998,187.66
  5. Step 5: Solve for x
    x = 261,998,187.66/18,323
  6. Step 6: Final answer
    x = 14,298.87

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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.