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Finding the Fourth Proportional to 15,675.98, 23,497.42 and 5,143.25

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Solution

The fourth proportional to 15,675.98, 23,497.42 and 5,143.25 is: 7,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675.98 : 23,497.42 = 5,143.25 : x
  2. Step 2: Convert to fraction form
    15,675.98/23,497.42 = 5,143.25/x
  3. Step 3: Cross multiply
    15,675.98x = 23,497.42 × 5,143.25
  4. Step 4: Simplify right side
    15,675.98x = 120,853,105.42
  5. Step 5: Solve for x
    x = 120,853,105.42/15,675.98
  6. Step 6: Final answer
    x = 7,709.44

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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.