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Finding the Fourth Proportional to 12,969.14, 19,330.34 and 12,230.96

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Solution

The fourth proportional to 12,969.14, 19,330.34 and 12,230.96 is: 18,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.14 : 19,330.34 = 12,230.96 : x
  2. Step 2: Convert to fraction form
    12,969.14/19,330.34 = 12,230.96/x
  3. Step 3: Cross multiply
    12,969.14x = 19,330.34 × 12,230.96
  4. Step 4: Simplify right side
    12,969.14x = 236,428,615.33
  5. Step 5: Solve for x
    x = 236,428,615.33/12,969.14
  6. Step 6: Final answer
    x = 18,230.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.