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Finding the Fourth Proportional to 14,324.67, 21,494.30 and 6,532.47

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Solution

The fourth proportional to 14,324.67, 21,494.30 and 6,532.47 is: 9,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.67 : 21,494.30 = 6,532.47 : x
  2. Step 2: Convert to fraction form
    14,324.67/21,494.30 = 6,532.47/x
  3. Step 3: Cross multiply
    14,324.67x = 21,494.30 × 6,532.47
  4. Step 4: Simplify right side
    14,324.67x = 140,410,837.26
  5. Step 5: Solve for x
    x = 140,410,837.26/14,324.67
  6. Step 6: Final answer
    x = 9,802.03

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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.