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Finding the Fourth Proportional to 17,743.46, 26,614.13 and 6,649.22

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Solution

The fourth proportional to 17,743.46, 26,614.13 and 6,649.22 is: 9,973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743.46 : 26,614.13 = 6,649.22 : x
  2. Step 2: Convert to fraction form
    17,743.46/26,614.13 = 6,649.22/x
  3. Step 3: Cross multiply
    17,743.46x = 26,614.13 × 6,649.22
  4. Step 4: Simplify right side
    17,743.46x = 176,963,072.41
  5. Step 5: Solve for x
    x = 176,963,072.41/17,743.46
  6. Step 6: Final answer
    x = 9,973.43

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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.