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Finding the Fourth Proportional to 21,324.06, 31,990.68 and 6,534

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Solution

The fourth proportional to 21,324.06, 31,990.68 and 6,534 is: 9,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.06 : 31,990.68 = 6,534 : x
  2. Step 2: Convert to fraction form
    21,324.06/31,990.68 = 6,534/x
  3. Step 3: Cross multiply
    21,324.06x = 31,990.68 × 6,534
  4. Step 4: Simplify right side
    21,324.06x = 209,027,103.12
  5. Step 5: Solve for x
    x = 209,027,103.12/21,324.06
  6. Step 6: Final answer
    x = 9,802.41

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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.