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Finding the Fourth Proportional to 15,597.36, 23,398 and 6,108.44

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Solution

The fourth proportional to 15,597.36, 23,398 and 6,108.44 is: 9,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597.36 : 23,398 = 6,108.44 : x
  2. Step 2: Convert to fraction form
    15,597.36/23,398 = 6,108.44/x
  3. Step 3: Cross multiply
    15,597.36x = 23,398 × 6,108.44
  4. Step 4: Simplify right side
    15,597.36x = 142,925,279.12
  5. Step 5: Solve for x
    x = 142,925,279.12/15,597.36
  6. Step 6: Final answer
    x = 9,163.43

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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.