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Finding the Fourth Proportional to 12,665.34, 17,478.54 and 7,076.34

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Solution

The fourth proportional to 12,665.34, 17,478.54 and 7,076.34 is: 9,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.34 : 17,478.54 = 7,076.34 : x
  2. Step 2: Convert to fraction form
    12,665.34/17,478.54 = 7,076.34/x
  3. Step 3: Cross multiply
    12,665.34x = 17,478.54 × 7,076.34
  4. Step 4: Simplify right side
    12,665.34x = 123,684,091.74
  5. Step 5: Solve for x
    x = 123,684,091.74/12,665.34
  6. Step 6: Final answer
    x = 9,765.56

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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.