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Finding the Fourth Proportional to 13,611.70, 20,377.92 and 10,117.20

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Solution

The fourth proportional to 13,611.70, 20,377.92 and 10,117.20 is: 15,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.70 : 20,377.92 = 10,117.20 : x
  2. Step 2: Convert to fraction form
    13,611.70/20,377.92 = 10,117.20/x
  3. Step 3: Cross multiply
    13,611.70x = 20,377.92 × 10,117.20
  4. Step 4: Simplify right side
    13,611.70x = 206,167,492.22
  5. Step 5: Solve for x
    x = 206,167,492.22/13,611.70
  6. Step 6: Final answer
    x = 15,146.34

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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.