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Finding the Fourth Proportional to 12,813.18, 17,690.40 and 8,039.66

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Solution

The fourth proportional to 12,813.18, 17,690.40 and 8,039.66 is: 11,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.18 : 17,690.40 = 8,039.66 : x
  2. Step 2: Convert to fraction form
    12,813.18/17,690.40 = 8,039.66/x
  3. Step 3: Cross multiply
    12,813.18x = 17,690.40 × 8,039.66
  4. Step 4: Simplify right side
    12,813.18x = 142,224,801.26
  5. Step 5: Solve for x
    x = 142,224,801.26/12,813.18
  6. Step 6: Final answer
    x = 11,099.88

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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.