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Finding the Fourth Proportional to 14,788.36, 20,407.67 and 8,414.82

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Solution

The fourth proportional to 14,788.36, 20,407.67 and 8,414.82 is: 11,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,788.36 : 20,407.67 = 8,414.82 : x
  2. Step 2: Convert to fraction form
    14,788.36/20,407.67 = 8,414.82/x
  3. Step 3: Cross multiply
    14,788.36x = 20,407.67 × 8,414.82
  4. Step 4: Simplify right side
    14,788.36x = 171,726,839.69
  5. Step 5: Solve for x
    x = 171,726,839.69/14,788.36
  6. Step 6: Final answer
    x = 11,612.30

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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.