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Finding the Fourth Proportional to 13,561.61, 20,326.80 and 5,237.96

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Solution

The fourth proportional to 13,561.61, 20,326.80 and 5,237.96 is: 7,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.61 : 20,326.80 = 5,237.96 : x
  2. Step 2: Convert to fraction form
    13,561.61/20,326.80 = 5,237.96/x
  3. Step 3: Cross multiply
    13,561.61x = 20,326.80 × 5,237.96
  4. Step 4: Simplify right side
    13,561.61x = 106,470,965.33
  5. Step 5: Solve for x
    x = 106,470,965.33/13,561.61
  6. Step 6: Final answer
    x = 7,850.91

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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.