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Finding the Fourth Proportional to 14,049.66, 21,074.10 and 5,729.64

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Solution

The fourth proportional to 14,049.66, 21,074.10 and 5,729.64 is: 8,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049.66 : 21,074.10 = 5,729.64 : x
  2. Step 2: Convert to fraction form
    14,049.66/21,074.10 = 5,729.64/x
  3. Step 3: Cross multiply
    14,049.66x = 21,074.10 × 5,729.64
  4. Step 4: Simplify right side
    14,049.66x = 120,747,006.32
  5. Step 5: Solve for x
    x = 120,747,006.32/14,049.66
  6. Step 6: Final answer
    x = 8,594.30

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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.