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Finding the Fourth Proportional to 11,728.60, 16,184.82 and 8,929.24

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Solution

The fourth proportional to 11,728.60, 16,184.82 and 8,929.24 is: 12,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.60 : 16,184.82 = 8,929.24 : x
  2. Step 2: Convert to fraction form
    11,728.60/16,184.82 = 8,929.24/x
  3. Step 3: Cross multiply
    11,728.60x = 16,184.82 × 8,929.24
  4. Step 4: Simplify right side
    11,728.60x = 144,518,142.14
  5. Step 5: Solve for x
    x = 144,518,142.14/11,728.60
  6. Step 6: Final answer
    x = 12,321.86

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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.