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Finding the Fourth Proportional to 15,614.84, 23,431.42 and 5,760.98

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Solution

The fourth proportional to 15,614.84, 23,431.42 and 5,760.98 is: 8,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.84 : 23,431.42 = 5,760.98 : x
  2. Step 2: Convert to fraction form
    15,614.84/23,431.42 = 5,760.98/x
  3. Step 3: Cross multiply
    15,614.84x = 23,431.42 × 5,760.98
  4. Step 4: Simplify right side
    15,614.84x = 134,987,941.99
  5. Step 5: Solve for x
    x = 134,987,941.99/15,614.84
  6. Step 6: Final answer
    x = 8,644.85

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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.