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Finding the Fourth Proportional to 12,471.63, 17,206.51 and 7,997.85

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Solution

The fourth proportional to 12,471.63, 17,206.51 and 7,997.85 is: 11,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.63 : 17,206.51 = 7,997.85 : x
  2. Step 2: Convert to fraction form
    12,471.63/17,206.51 = 7,997.85/x
  3. Step 3: Cross multiply
    12,471.63x = 17,206.51 × 7,997.85
  4. Step 4: Simplify right side
    12,471.63x = 137,615,081.00
  5. Step 5: Solve for x
    x = 137,615,081.00/12,471.63
  6. Step 6: Final answer
    x = 11,034.25

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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.