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Finding the Fourth Proportional to 18,997.50, 26,216.56 and 10,614

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Solution

The fourth proportional to 18,997.50, 26,216.56 and 10,614 is: 14,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,997.50 : 26,216.56 = 10,614 : x
  2. Step 2: Convert to fraction form
    18,997.50/26,216.56 = 10,614/x
  3. Step 3: Cross multiply
    18,997.50x = 26,216.56 × 10,614
  4. Step 4: Simplify right side
    18,997.50x = 278,262,567.84
  5. Step 5: Solve for x
    x = 278,262,567.84/18,997.50
  6. Step 6: Final answer
    x = 14,647.33

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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.