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Finding the Fourth Proportional to 12,890.72, 17,783.16 and 8,917.36

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Solution

The fourth proportional to 12,890.72, 17,783.16 and 8,917.36 is: 12,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.72 : 17,783.16 = 8,917.36 : x
  2. Step 2: Convert to fraction form
    12,890.72/17,783.16 = 8,917.36/x
  3. Step 3: Cross multiply
    12,890.72x = 17,783.16 × 8,917.36
  4. Step 4: Simplify right side
    12,890.72x = 158,578,839.66
  5. Step 5: Solve for x
    x = 158,578,839.66/12,890.72
  6. Step 6: Final answer
    x = 12,301.78

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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.