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Finding the Fourth Proportional to 12,309.82, 17,102.24 and 12,162.20

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Solution

The fourth proportional to 12,309.82, 17,102.24 and 12,162.20 is: 16,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.82 : 17,102.24 = 12,162.20 : x
  2. Step 2: Convert to fraction form
    12,309.82/17,102.24 = 12,162.20/x
  3. Step 3: Cross multiply
    12,309.82x = 17,102.24 × 12,162.20
  4. Step 4: Simplify right side
    12,309.82x = 208,000,858.81
  5. Step 5: Solve for x
    x = 208,000,858.81/12,309.82
  6. Step 6: Final answer
    x = 16,897.14

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.