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Finding the Fourth Proportional to 16,765.68, 25,149.36 and 6,378.24

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Solution

The fourth proportional to 16,765.68, 25,149.36 and 6,378.24 is: 9,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,765.68 : 25,149.36 = 6,378.24 : x
  2. Step 2: Convert to fraction form
    16,765.68/25,149.36 = 6,378.24/x
  3. Step 3: Cross multiply
    16,765.68x = 25,149.36 × 6,378.24
  4. Step 4: Simplify right side
    16,765.68x = 160,408,653.93
  5. Step 5: Solve for x
    x = 160,408,653.93/16,765.68
  6. Step 6: Final answer
    x = 9,567.68

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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.