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Finding the Fourth Proportional to 16,530.20, 24,774.24 and 7,745.76

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Solution

The fourth proportional to 16,530.20, 24,774.24 and 7,745.76 is: 11,608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.20 : 24,774.24 = 7,745.76 : x
  2. Step 2: Convert to fraction form
    16,530.20/24,774.24 = 7,745.76/x
  3. Step 3: Cross multiply
    16,530.20x = 24,774.24 × 7,745.76
  4. Step 4: Simplify right side
    16,530.20x = 191,895,317.22
  5. Step 5: Solve for x
    x = 191,895,317.22/16,530.20
  6. Step 6: Final answer
    x = 11,608.77

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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.