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Finding the Fourth Proportional to 15,783.36, 23,689.44 and 7,997.52

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Solution

The fourth proportional to 15,783.36, 23,689.44 and 7,997.52 is: 12,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.36 : 23,689.44 = 7,997.52 : x
  2. Step 2: Convert to fraction form
    15,783.36/23,689.44 = 7,997.52/x
  3. Step 3: Cross multiply
    15,783.36x = 23,689.44 × 7,997.52
  4. Step 4: Simplify right side
    15,783.36x = 189,456,770.19
  5. Step 5: Solve for x
    x = 189,456,770.19/15,783.36
  6. Step 6: Final answer
    x = 12,003.58

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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.