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Finding the Fourth Proportional to 12,963.83, 17,887.57 and 7,659.54

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Solution

The fourth proportional to 12,963.83, 17,887.57 and 7,659.54 is: 10,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.83 : 17,887.57 = 7,659.54 : x
  2. Step 2: Convert to fraction form
    12,963.83/17,887.57 = 7,659.54/x
  3. Step 3: Cross multiply
    12,963.83x = 17,887.57 × 7,659.54
  4. Step 4: Simplify right side
    12,963.83x = 137,010,538.77
  5. Step 5: Solve for x
    x = 137,010,538.77/12,963.83
  6. Step 6: Final answer
    x = 10,568.68

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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.