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Finding the Fourth Proportional to 14,704.26, 22,049.70 and 8,783.76

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Solution

The fourth proportional to 14,704.26, 22,049.70 and 8,783.76 is: 13,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.26 : 22,049.70 = 8,783.76 : x
  2. Step 2: Convert to fraction form
    14,704.26/22,049.70 = 8,783.76/x
  3. Step 3: Cross multiply
    14,704.26x = 22,049.70 × 8,783.76
  4. Step 4: Simplify right side
    14,704.26x = 193,679,272.87
  5. Step 5: Solve for x
    x = 193,679,272.87/14,704.26
  6. Step 6: Final answer
    x = 13,171.64

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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.