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Finding the Fourth Proportional to 12,777.14, 17,632.41 and 7,111.73

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Solution

The fourth proportional to 12,777.14, 17,632.41 and 7,111.73 is: 9,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.14 : 17,632.41 = 7,111.73 : x
  2. Step 2: Convert to fraction form
    12,777.14/17,632.41 = 7,111.73/x
  3. Step 3: Cross multiply
    12,777.14x = 17,632.41 × 7,111.73
  4. Step 4: Simplify right side
    12,777.14x = 125,396,939.17
  5. Step 5: Solve for x
    x = 125,396,939.17/12,777.14
  6. Step 6: Final answer
    x = 9,814.16

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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.