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Finding the Fourth Proportional to 13,563.91, 20,359.01 and 6,548.87

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Solution

The fourth proportional to 13,563.91, 20,359.01 and 6,548.87 is: 9,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.91 : 20,359.01 = 6,548.87 : x
  2. Step 2: Convert to fraction form
    13,563.91/20,359.01 = 6,548.87/x
  3. Step 3: Cross multiply
    13,563.91x = 20,359.01 × 6,548.87
  4. Step 4: Simplify right side
    13,563.91x = 133,328,500.74
  5. Step 5: Solve for x
    x = 133,328,500.74/13,563.91
  6. Step 6: Final answer
    x = 9,829.65

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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.