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Finding the Fourth Proportional to 19,114.81, 28,644.42 and 8,428.16

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Solution

The fourth proportional to 19,114.81, 28,644.42 and 8,428.16 is: 12,629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114.81 : 28,644.42 = 8,428.16 : x
  2. Step 2: Convert to fraction form
    19,114.81/28,644.42 = 8,428.16/x
  3. Step 3: Cross multiply
    19,114.81x = 28,644.42 × 8,428.16
  4. Step 4: Simplify right side
    19,114.81x = 241,419,754.87
  5. Step 5: Solve for x
    x = 241,419,754.87/19,114.81
  6. Step 6: Final answer
    x = 12,629.98

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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.