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Finding the Fourth Proportional to 14,286.47, 21,429.48 and 3,898.22

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Solution

The fourth proportional to 14,286.47, 21,429.48 and 3,898.22 is: 5,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.47 : 21,429.48 = 3,898.22 : x
  2. Step 2: Convert to fraction form
    14,286.47/21,429.48 = 3,898.22/x
  3. Step 3: Cross multiply
    14,286.47x = 21,429.48 × 3,898.22
  4. Step 4: Simplify right side
    14,286.47x = 83,536,827.53
  5. Step 5: Solve for x
    x = 83,536,827.53/14,286.47
  6. Step 6: Final answer
    x = 5,847.27

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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.