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Finding the Fourth Proportional to 12,548.73, 17,320.19 and 9,196.41

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Solution

The fourth proportional to 12,548.73, 17,320.19 and 9,196.41 is: 12,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.73 : 17,320.19 = 9,196.41 : x
  2. Step 2: Convert to fraction form
    12,548.73/17,320.19 = 9,196.41/x
  3. Step 3: Cross multiply
    12,548.73x = 17,320.19 × 9,196.41
  4. Step 4: Simplify right side
    12,548.73x = 159,283,522.54
  5. Step 5: Solve for x
    x = 159,283,522.54/12,548.73
  6. Step 6: Final answer
    x = 12,693.20

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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.