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Finding the Fourth Proportional to 14,649.66, 21,969.68 and 6,324.48

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Solution

The fourth proportional to 14,649.66, 21,969.68 and 6,324.48 is: 9,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.66 : 21,969.68 = 6,324.48 : x
  2. Step 2: Convert to fraction form
    14,649.66/21,969.68 = 6,324.48/x
  3. Step 3: Cross multiply
    14,649.66x = 21,969.68 × 6,324.48
  4. Step 4: Simplify right side
    14,649.66x = 138,946,770.14
  5. Step 5: Solve for x
    x = 138,946,770.14/14,649.66
  6. Step 6: Final answer
    x = 9,484.64

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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.