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Finding the Fourth Proportional to 16,642.87, 22,967.12 and 9,089.21

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Solution

The fourth proportional to 16,642.87, 22,967.12 and 9,089.21 is: 12,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.87 : 22,967.12 = 9,089.21 : x
  2. Step 2: Convert to fraction form
    16,642.87/22,967.12 = 9,089.21/x
  3. Step 3: Cross multiply
    16,642.87x = 22,967.12 × 9,089.21
  4. Step 4: Simplify right side
    16,642.87x = 208,753,056.92
  5. Step 5: Solve for x
    x = 208,753,056.92/16,642.87
  6. Step 6: Final answer
    x = 12,543.09

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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.