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Finding the Fourth Proportional to 12,160.24, 16,781.13 and 6,571.24

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Solution

The fourth proportional to 12,160.24, 16,781.13 and 6,571.24 is: 9,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.24 : 16,781.13 = 6,571.24 : x
  2. Step 2: Convert to fraction form
    12,160.24/16,781.13 = 6,571.24/x
  3. Step 3: Cross multiply
    12,160.24x = 16,781.13 × 6,571.24
  4. Step 4: Simplify right side
    12,160.24x = 110,272,832.70
  5. Step 5: Solve for x
    x = 110,272,832.70/12,160.24
  6. Step 6: Final answer
    x = 9,068.31

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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.