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Finding the Fourth Proportional to 13,611.34, 20,424.96 and 5,713.20

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Solution

The fourth proportional to 13,611.34, 20,424.96 and 5,713.20 is: 8,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.34 : 20,424.96 = 5,713.20 : x
  2. Step 2: Convert to fraction form
    13,611.34/20,424.96 = 5,713.20/x
  3. Step 3: Cross multiply
    13,611.34x = 20,424.96 × 5,713.20
  4. Step 4: Simplify right side
    13,611.34x = 116,691,881.47
  5. Step 5: Solve for x
    x = 116,691,881.47/13,611.34
  6. Step 6: Final answer
    x = 8,573.14

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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.