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Finding the Fourth Proportional to 12,385.56, 17,095.06 and 7,667

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Solution

The fourth proportional to 12,385.56, 17,095.06 and 7,667 is: 10,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.56 : 17,095.06 = 7,667 : x
  2. Step 2: Convert to fraction form
    12,385.56/17,095.06 = 7,667/x
  3. Step 3: Cross multiply
    12,385.56x = 17,095.06 × 7,667
  4. Step 4: Simplify right side
    12,385.56x = 131,067,825.02
  5. Step 5: Solve for x
    x = 131,067,825.02/12,385.56
  6. Step 6: Final answer
    x = 10,582.31

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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.