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Finding the Fourth Proportional to 16,339.83, 22,549.10 and 8,887.83

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Solution

The fourth proportional to 16,339.83, 22,549.10 and 8,887.83 is: 12,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.83 : 22,549.10 = 8,887.83 : x
  2. Step 2: Convert to fraction form
    16,339.83/22,549.10 = 8,887.83/x
  3. Step 3: Cross multiply
    16,339.83x = 22,549.10 × 8,887.83
  4. Step 4: Simplify right side
    16,339.83x = 200,412,523.01
  5. Step 5: Solve for x
    x = 200,412,523.01/16,339.83
  6. Step 6: Final answer
    x = 12,265.28

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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.