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Finding the Fourth Proportional to 16,180.90, 24,274.82 and 9,164.23

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Solution

The fourth proportional to 16,180.90, 24,274.82 and 9,164.23 is: 13,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.90 : 24,274.82 = 9,164.23 : x
  2. Step 2: Convert to fraction form
    16,180.90/24,274.82 = 9,164.23/x
  3. Step 3: Cross multiply
    16,180.90x = 24,274.82 × 9,164.23
  4. Step 4: Simplify right side
    16,180.90x = 222,460,033.69
  5. Step 5: Solve for x
    x = 222,460,033.69/16,180.90
  6. Step 6: Final answer
    x = 13,748.31

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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.