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Finding the Fourth Proportional to 13,514.47, 20,271.85 and 10,611.22

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Solution

The fourth proportional to 13,514.47, 20,271.85 and 10,611.22 is: 15,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.47 : 20,271.85 = 10,611.22 : x
  2. Step 2: Convert to fraction form
    13,514.47/20,271.85 = 10,611.22/x
  3. Step 3: Cross multiply
    13,514.47x = 20,271.85 × 10,611.22
  4. Step 4: Simplify right side
    13,514.47x = 215,109,060.16
  5. Step 5: Solve for x
    x = 215,109,060.16/13,514.47
  6. Step 6: Final answer
    x = 15,916.94

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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.