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Finding the Fourth Proportional to 13,530.72, 20,295.36 and 4,296

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Solution

The fourth proportional to 13,530.72, 20,295.36 and 4,296 is: 6,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.72 : 20,295.36 = 4,296 : x
  2. Step 2: Convert to fraction form
    13,530.72/20,295.36 = 4,296/x
  3. Step 3: Cross multiply
    13,530.72x = 20,295.36 × 4,296
  4. Step 4: Simplify right side
    13,530.72x = 87,188,866.56
  5. Step 5: Solve for x
    x = 87,188,866.56/13,530.72
  6. Step 6: Final answer
    x = 6,443.77

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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.