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Finding the Fourth Proportional to 12,665.58, 17,478.50 and 7,076.58

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Solution

The fourth proportional to 12,665.58, 17,478.50 and 7,076.58 is: 9,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.58 : 17,478.50 = 7,076.58 : x
  2. Step 2: Convert to fraction form
    12,665.58/17,478.50 = 7,076.58/x
  3. Step 3: Cross multiply
    12,665.58x = 17,478.50 × 7,076.58
  4. Step 4: Simplify right side
    12,665.58x = 123,687,968.15
  5. Step 5: Solve for x
    x = 123,687,968.15/12,665.58
  6. Step 6: Final answer
    x = 9,765.68

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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.