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Finding the Fourth Proportional to 12,887.74, 17,778.63 and 8,164.54

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Solution

The fourth proportional to 12,887.74, 17,778.63 and 8,164.54 is: 11,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.74 : 17,778.63 = 8,164.54 : x
  2. Step 2: Convert to fraction form
    12,887.74/17,778.63 = 8,164.54/x
  3. Step 3: Cross multiply
    12,887.74x = 17,778.63 × 8,164.54
  4. Step 4: Simplify right side
    12,887.74x = 145,154,335.78
  5. Step 5: Solve for x
    x = 145,154,335.78/12,887.74
  6. Step 6: Final answer
    x = 11,262.98

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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.