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Finding the Fourth Proportional to 15,817.72, 23,728.76 and 5,428.12

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Solution

The fourth proportional to 15,817.72, 23,728.76 and 5,428.12 is: 8,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.72 : 23,728.76 = 5,428.12 : x
  2. Step 2: Convert to fraction form
    15,817.72/23,728.76 = 5,428.12/x
  3. Step 3: Cross multiply
    15,817.72x = 23,728.76 × 5,428.12
  4. Step 4: Simplify right side
    15,817.72x = 128,802,556.73
  5. Step 5: Solve for x
    x = 128,802,556.73/15,817.72
  6. Step 6: Final answer
    x = 8,142.93

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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.