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Finding the Fourth Proportional to 16,078.52, 24,127.70 and 7,759.35

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Solution

The fourth proportional to 16,078.52, 24,127.70 and 7,759.35 is: 11,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.52 : 24,127.70 = 7,759.35 : x
  2. Step 2: Convert to fraction form
    16,078.52/24,127.70 = 7,759.35/x
  3. Step 3: Cross multiply
    16,078.52x = 24,127.70 × 7,759.35
  4. Step 4: Simplify right side
    16,078.52x = 187,215,230.20
  5. Step 5: Solve for x
    x = 187,215,230.20/16,078.52
  6. Step 6: Final answer
    x = 11,643.81

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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.