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Finding the Fourth Proportional to 15,771.42, 23,657.07 and 5,242.26

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Solution

The fourth proportional to 15,771.42, 23,657.07 and 5,242.26 is: 7,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.42 : 23,657.07 = 5,242.26 : x
  2. Step 2: Convert to fraction form
    15,771.42/23,657.07 = 5,242.26/x
  3. Step 3: Cross multiply
    15,771.42x = 23,657.07 × 5,242.26
  4. Step 4: Simplify right side
    15,771.42x = 124,016,511.78
  5. Step 5: Solve for x
    x = 124,016,511.78/15,771.42
  6. Step 6: Final answer
    x = 7,863.37

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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.