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Finding the Fourth Proportional to 12,792.78, 17,654.54 and 7,415.41

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Solution

The fourth proportional to 12,792.78, 17,654.54 and 7,415.41 is: 10,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.78 : 17,654.54 = 7,415.41 : x
  2. Step 2: Convert to fraction form
    12,792.78/17,654.54 = 7,415.41/x
  3. Step 3: Cross multiply
    12,792.78x = 17,654.54 × 7,415.41
  4. Step 4: Simplify right side
    12,792.78x = 130,915,652.46
  5. Step 5: Solve for x
    x = 130,915,652.46/12,792.78
  6. Step 6: Final answer
    x = 10,233.56

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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.