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Finding the Fourth Proportional to 13,505.09, 20,263.48 and 7,257.80

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Solution

The fourth proportional to 13,505.09, 20,263.48 and 7,257.80 is: 10,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.09 : 20,263.48 = 7,257.80 : x
  2. Step 2: Convert to fraction form
    13,505.09/20,263.48 = 7,257.80/x
  3. Step 3: Cross multiply
    13,505.09x = 20,263.48 × 7,257.80
  4. Step 4: Simplify right side
    13,505.09x = 147,068,317.66
  5. Step 5: Solve for x
    x = 147,068,317.66/13,505.09
  6. Step 6: Final answer
    x = 10,889.85

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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.