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Finding the Fourth Proportional to 12,869.48, 17,760.19 and 7,204.09

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Solution

The fourth proportional to 12,869.48, 17,760.19 and 7,204.09 is: 9,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.48 : 17,760.19 = 7,204.09 : x
  2. Step 2: Convert to fraction form
    12,869.48/17,760.19 = 7,204.09/x
  3. Step 3: Cross multiply
    12,869.48x = 17,760.19 × 7,204.09
  4. Step 4: Simplify right side
    12,869.48x = 127,945,971.31
  5. Step 5: Solve for x
    x = 127,945,971.31/12,869.48
  6. Step 6: Final answer
    x = 9,941.81

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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.