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Finding the Fourth Proportional to 21,589.15, 29,793 and 12,157.78

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Solution

The fourth proportional to 21,589.15, 29,793 and 12,157.78 is: 16,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,589.15 : 29,793 = 12,157.78 : x
  2. Step 2: Convert to fraction form
    21,589.15/29,793 = 12,157.78/x
  3. Step 3: Cross multiply
    21,589.15x = 29,793 × 12,157.78
  4. Step 4: Simplify right side
    21,589.15x = 362,216,739.54
  5. Step 5: Solve for x
    x = 362,216,739.54/21,589.15
  6. Step 6: Final answer
    x = 16,777.72

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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.