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Finding the Fourth Proportional to 16,041.88, 24,046.26 and 7,709.32

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Solution

The fourth proportional to 16,041.88, 24,046.26 and 7,709.32 is: 11,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041.88 : 24,046.26 = 7,709.32 : x
  2. Step 2: Convert to fraction form
    16,041.88/24,046.26 = 7,709.32/x
  3. Step 3: Cross multiply
    16,041.88x = 24,046.26 × 7,709.32
  4. Step 4: Simplify right side
    16,041.88x = 185,380,313.14
  5. Step 5: Solve for x
    x = 185,380,313.14/16,041.88
  6. Step 6: Final answer
    x = 11,556.02

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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.