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Finding the Fourth Proportional to 12,201.10, 16,837.27 and 7,164.93

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Solution

The fourth proportional to 12,201.10, 16,837.27 and 7,164.93 is: 9,887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.10 : 16,837.27 = 7,164.93 : x
  2. Step 2: Convert to fraction form
    12,201.10/16,837.27 = 7,164.93/x
  3. Step 3: Cross multiply
    12,201.10x = 16,837.27 × 7,164.93
  4. Step 4: Simplify right side
    12,201.10x = 120,637,860.94
  5. Step 5: Solve for x
    x = 120,637,860.94/12,201.10
  6. Step 6: Final answer
    x = 9,887.46

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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.