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Finding the Fourth Proportional to 13,538.40, 20,311.06 and 5,216.19

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Solution

The fourth proportional to 13,538.40, 20,311.06 and 5,216.19 is: 7,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.40 : 20,311.06 = 5,216.19 : x
  2. Step 2: Convert to fraction form
    13,538.40/20,311.06 = 5,216.19/x
  3. Step 3: Cross multiply
    13,538.40x = 20,311.06 × 5,216.19
  4. Step 4: Simplify right side
    13,538.40x = 105,946,348.06
  5. Step 5: Solve for x
    x = 105,946,348.06/13,538.40
  6. Step 6: Final answer
    x = 7,825.62

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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.