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Finding the Fourth Proportional to 21,288.44, 31,932.66 and 6,497.44

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Solution

The fourth proportional to 21,288.44, 31,932.66 and 6,497.44 is: 9,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,288.44 : 31,932.66 = 6,497.44 : x
  2. Step 2: Convert to fraction form
    21,288.44/31,932.66 = 6,497.44/x
  3. Step 3: Cross multiply
    21,288.44x = 31,932.66 × 6,497.44
  4. Step 4: Simplify right side
    21,288.44x = 207,480,382.73
  5. Step 5: Solve for x
    x = 207,480,382.73/21,288.44
  6. Step 6: Final answer
    x = 9,746.15

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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.