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Finding the Fourth Proportional to 16,239.68, 22,402.50 and 9,864.57

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Solution

The fourth proportional to 16,239.68, 22,402.50 and 9,864.57 is: 13,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239.68 : 22,402.50 = 9,864.57 : x
  2. Step 2: Convert to fraction form
    16,239.68/22,402.50 = 9,864.57/x
  3. Step 3: Cross multiply
    16,239.68x = 22,402.50 × 9,864.57
  4. Step 4: Simplify right side
    16,239.68x = 220,991,029.43
  5. Step 5: Solve for x
    x = 220,991,029.43/16,239.68
  6. Step 6: Final answer
    x = 13,608.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.