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Finding the Fourth Proportional to 16,539, 22,823.82 and 9,087

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Solution

The fourth proportional to 16,539, 22,823.82 and 9,087 is: 12,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539 : 22,823.82 = 9,087 : x
  2. Step 2: Convert to fraction form
    16,539/22,823.82 = 9,087/x
  3. Step 3: Cross multiply
    16,539x = 22,823.82 × 9,087
  4. Step 4: Simplify right side
    16,539x = 207,400,052.34
  5. Step 5: Solve for x
    x = 207,400,052.34/16,539
  6. Step 6: Final answer
    x = 12,540.06

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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.