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Finding the Fourth Proportional to 12,548.21, 17,324.03 and 7,838.87

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Solution

The fourth proportional to 12,548.21, 17,324.03 and 7,838.87 is: 10,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.21 : 17,324.03 = 7,838.87 : x
  2. Step 2: Convert to fraction form
    12,548.21/17,324.03 = 7,838.87/x
  3. Step 3: Cross multiply
    12,548.21x = 17,324.03 × 7,838.87
  4. Step 4: Simplify right side
    12,548.21x = 135,800,693.23
  5. Step 5: Solve for x
    x = 135,800,693.23/12,548.21
  6. Step 6: Final answer
    x = 10,822.32

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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.