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Finding the Fourth Proportional to 21,285.32, 31,927.97 and 6,494.31

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Solution

The fourth proportional to 21,285.32, 31,927.97 and 6,494.31 is: 9,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285.32 : 31,927.97 = 6,494.31 : x
  2. Step 2: Convert to fraction form
    21,285.32/31,927.97 = 6,494.31/x
  3. Step 3: Cross multiply
    21,285.32x = 31,927.97 × 6,494.31
  4. Step 4: Simplify right side
    21,285.32x = 207,350,151.09
  5. Step 5: Solve for x
    x = 207,350,151.09/21,285.32
  6. Step 6: Final answer
    x = 9,741.47

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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.