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Finding the Fourth Proportional to 12,200.90, 16,837.43 and 7,165.23

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Solution

The fourth proportional to 12,200.90, 16,837.43 and 7,165.23 is: 9,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.90 : 16,837.43 = 7,165.23 : x
  2. Step 2: Convert to fraction form
    12,200.90/16,837.43 = 7,165.23/x
  3. Step 3: Cross multiply
    12,200.90x = 16,837.43 × 7,165.23
  4. Step 4: Simplify right side
    12,200.90x = 120,644,076.47
  5. Step 5: Solve for x
    x = 120,644,076.47/12,200.90
  6. Step 6: Final answer
    x = 9,888.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.