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Finding the Fourth Proportional to 12,832.18, 17,707.91 and 8,054.69

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Solution

The fourth proportional to 12,832.18, 17,707.91 and 8,054.69 is: 11,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.18 : 17,707.91 = 8,054.69 : x
  2. Step 2: Convert to fraction form
    12,832.18/17,707.91 = 8,054.69/x
  3. Step 3: Cross multiply
    12,832.18x = 17,707.91 × 8,054.69
  4. Step 4: Simplify right side
    12,832.18x = 142,631,641.05
  5. Step 5: Solve for x
    x = 142,631,641.05/12,832.18
  6. Step 6: Final answer
    x = 11,115.15

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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.