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Finding the Fourth Proportional to 17,662.50, 26,459.12 and 10,251.42

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Solution

The fourth proportional to 17,662.50, 26,459.12 and 10,251.42 is: 15,357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.50 : 26,459.12 = 10,251.42 : x
  2. Step 2: Convert to fraction form
    17,662.50/26,459.12 = 10,251.42/x
  3. Step 3: Cross multiply
    17,662.50x = 26,459.12 × 10,251.42
  4. Step 4: Simplify right side
    17,662.50x = 271,243,551.95
  5. Step 5: Solve for x
    x = 271,243,551.95/17,662.50
  6. Step 6: Final answer
    x = 15,357.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.