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Finding the Fourth Proportional to 23,561.73, 32,514.75 and 12,951.14

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Solution

The fourth proportional to 23,561.73, 32,514.75 and 12,951.14 is: 17,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,561.73 : 32,514.75 = 12,951.14 : x
  2. Step 2: Convert to fraction form
    23,561.73/32,514.75 = 12,951.14/x
  3. Step 3: Cross multiply
    23,561.73x = 32,514.75 × 12,951.14
  4. Step 4: Simplify right side
    23,561.73x = 421,102,916.74
  5. Step 5: Solve for x
    x = 421,102,916.74/23,561.73
  6. Step 6: Final answer
    x = 17,872.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.