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Finding the Fourth Proportional to 12,380.28, 17,095.77 and 8,416.14

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Solution

The fourth proportional to 12,380.28, 17,095.77 and 8,416.14 is: 11,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.28 : 17,095.77 = 8,416.14 : x
  2. Step 2: Convert to fraction form
    12,380.28/17,095.77 = 8,416.14/x
  3. Step 3: Cross multiply
    12,380.28x = 17,095.77 × 8,416.14
  4. Step 4: Simplify right side
    12,380.28x = 143,880,393.73
  5. Step 5: Solve for x
    x = 143,880,393.73/12,380.28
  6. Step 6: Final answer
    x = 11,621.74

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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.