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Finding the Fourth Proportional to 13,484.09, 20,227.15 and 4,596.65

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Solution

The fourth proportional to 13,484.09, 20,227.15 and 4,596.65 is: 6,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.09 : 20,227.15 = 4,596.65 : x
  2. Step 2: Convert to fraction form
    13,484.09/20,227.15 = 4,596.65/x
  3. Step 3: Cross multiply
    13,484.09x = 20,227.15 × 4,596.65
  4. Step 4: Simplify right side
    13,484.09x = 92,977,129.05
  5. Step 5: Solve for x
    x = 92,977,129.05/13,484.09
  6. Step 6: Final answer
    x = 6,895.32

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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.