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Finding the Fourth Proportional to 16,049.64, 24,122.31 and 13,294.02

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Solution

The fourth proportional to 16,049.64, 24,122.31 and 13,294.02 is: 19,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.64 : 24,122.31 = 13,294.02 : x
  2. Step 2: Convert to fraction form
    16,049.64/24,122.31 = 13,294.02/x
  3. Step 3: Cross multiply
    16,049.64x = 24,122.31 × 13,294.02
  4. Step 4: Simplify right side
    16,049.64x = 320,682,512.19
  5. Step 5: Solve for x
    x = 320,682,512.19/16,049.64
  6. Step 6: Final answer
    x = 19,980.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.