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Finding the Fourth Proportional to 16,222.68, 22,387.37 and 9,052.91

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Solution

The fourth proportional to 16,222.68, 22,387.37 and 9,052.91 is: 12,493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.68 : 22,387.37 = 9,052.91 : x
  2. Step 2: Convert to fraction form
    16,222.68/22,387.37 = 9,052.91/x
  3. Step 3: Cross multiply
    16,222.68x = 22,387.37 × 9,052.91
  4. Step 4: Simplify right side
    16,222.68x = 202,670,987.54
  5. Step 5: Solve for x
    x = 202,670,987.54/16,222.68
  6. Step 6: Final answer
    x = 12,493.06

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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.