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Finding the Fourth Proportional to 16,169.94, 22,318.74 and 9,887.58

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Solution

The fourth proportional to 16,169.94, 22,318.74 and 9,887.58 is: 13,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.94 : 22,318.74 = 9,887.58 : x
  2. Step 2: Convert to fraction form
    16,169.94/22,318.74 = 9,887.58/x
  3. Step 3: Cross multiply
    16,169.94x = 22,318.74 × 9,887.58
  4. Step 4: Simplify right side
    16,169.94x = 220,678,327.25
  5. Step 5: Solve for x
    x = 220,678,327.25/16,169.94
  6. Step 6: Final answer
    x = 13,647.44

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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.