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Finding the Fourth Proportional to 18,701.84, 25,808.16 and 10,204

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Solution

The fourth proportional to 18,701.84, 25,808.16 and 10,204 is: 14,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,701.84 : 25,808.16 = 10,204 : x
  2. Step 2: Convert to fraction form
    18,701.84/25,808.16 = 10,204/x
  3. Step 3: Cross multiply
    18,701.84x = 25,808.16 × 10,204
  4. Step 4: Simplify right side
    18,701.84x = 263,346,464.64
  5. Step 5: Solve for x
    x = 263,346,464.64/18,701.84
  6. Step 6: Final answer
    x = 14,081.31

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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.