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Finding the Fourth Proportional to 21,149.64, 29,187 and 12,197.52

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Solution

The fourth proportional to 21,149.64, 29,187 and 12,197.52 is: 16,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.64 : 29,187 = 12,197.52 : x
  2. Step 2: Convert to fraction form
    21,149.64/29,187 = 12,197.52/x
  3. Step 3: Cross multiply
    21,149.64x = 29,187 × 12,197.52
  4. Step 4: Simplify right side
    21,149.64x = 356,009,016.24
  5. Step 5: Solve for x
    x = 356,009,016.24/21,149.64
  6. Step 6: Final answer
    x = 16,832.86

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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.