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Finding the Fourth Proportional to 21,134.34, 31,696.92 and 6,339.29

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Solution

The fourth proportional to 21,134.34, 31,696.92 and 6,339.29 is: 9,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134.34 : 31,696.92 = 6,339.29 : x
  2. Step 2: Convert to fraction form
    21,134.34/31,696.92 = 6,339.29/x
  3. Step 3: Cross multiply
    21,134.34x = 31,696.92 × 6,339.29
  4. Step 4: Simplify right side
    21,134.34x = 200,935,967.99
  5. Step 5: Solve for x
    x = 200,935,967.99/21,134.34
  6. Step 6: Final answer
    x = 9,507.56

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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.