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Finding the Fourth Proportional to 16,070.64, 22,177.49 and 8,997

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Solution

The fourth proportional to 16,070.64, 22,177.49 and 8,997 is: 12,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070.64 : 22,177.49 = 8,997 : x
  2. Step 2: Convert to fraction form
    16,070.64/22,177.49 = 8,997/x
  3. Step 3: Cross multiply
    16,070.64x = 22,177.49 × 8,997
  4. Step 4: Simplify right side
    16,070.64x = 199,530,832.55
  5. Step 5: Solve for x
    x = 199,530,832.55/16,070.64
  6. Step 6: Final answer
    x = 12,415.86

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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.