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Finding the Fourth Proportional to 14,704.81, 22,044.82 and 6,378.56

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Solution

The fourth proportional to 14,704.81, 22,044.82 and 6,378.56 is: 9,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.81 : 22,044.82 = 6,378.56 : x
  2. Step 2: Convert to fraction form
    14,704.81/22,044.82 = 6,378.56/x
  3. Step 3: Cross multiply
    14,704.81x = 22,044.82 × 6,378.56
  4. Step 4: Simplify right side
    14,704.81x = 140,614,175.17
  5. Step 5: Solve for x
    x = 140,614,175.17/14,704.81
  6. Step 6: Final answer
    x = 9,562.46

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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.