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Finding the Fourth Proportional to 15,728.96, 23,597.14 and 5,198.98

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Solution

The fourth proportional to 15,728.96, 23,597.14 and 5,198.98 is: 7,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.96 : 23,597.14 = 5,198.98 : x
  2. Step 2: Convert to fraction form
    15,728.96/23,597.14 = 5,198.98/x
  3. Step 3: Cross multiply
    15,728.96x = 23,597.14 × 5,198.98
  4. Step 4: Simplify right side
    15,728.96x = 122,681,168.13
  5. Step 5: Solve for x
    x = 122,681,168.13/15,728.96
  6. Step 6: Final answer
    x = 7,799.70

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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.