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Finding the Fourth Proportional to 11,514.40, 17,271.88 and 8,611.14

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Solution

The fourth proportional to 11,514.40, 17,271.88 and 8,611.14 is: 12,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.40 : 17,271.88 = 8,611.14 : x
  2. Step 2: Convert to fraction form
    11,514.40/17,271.88 = 8,611.14/x
  3. Step 3: Cross multiply
    11,514.40x = 17,271.88 × 8,611.14
  4. Step 4: Simplify right side
    11,514.40x = 148,730,576.74
  5. Step 5: Solve for x
    x = 148,730,576.74/11,514.40
  6. Step 6: Final answer
    x = 12,916.92

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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.