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Finding the Fourth Proportional to 21,497.87, 32,234.97 and 11,514.32

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Solution

The fourth proportional to 21,497.87, 32,234.97 and 11,514.32 is: 17,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.87 : 32,234.97 = 11,514.32 : x
  2. Step 2: Convert to fraction form
    21,497.87/32,234.97 = 11,514.32/x
  3. Step 3: Cross multiply
    21,497.87x = 32,234.97 × 11,514.32
  4. Step 4: Simplify right side
    21,497.87x = 371,163,759.77
  5. Step 5: Solve for x
    x = 371,163,759.77/21,497.87
  6. Step 6: Final answer
    x = 17,265.14

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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.