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Finding the Fourth Proportional to 23,672.25, 35,514.45 and 8,089.88

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Solution

The fourth proportional to 23,672.25, 35,514.45 and 8,089.88 is: 12,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.25 : 35,514.45 = 8,089.88 : x
  2. Step 2: Convert to fraction form
    23,672.25/35,514.45 = 8,089.88/x
  3. Step 3: Cross multiply
    23,672.25x = 35,514.45 × 8,089.88
  4. Step 4: Simplify right side
    23,672.25x = 287,307,461.19
  5. Step 5: Solve for x
    x = 287,307,461.19/23,672.25
  6. Step 6: Final answer
    x = 12,136.89

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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.