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Finding the Fourth Proportional to 13,476.24, 18,599.76 and 8,170.20

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Solution

The fourth proportional to 13,476.24, 18,599.76 and 8,170.20 is: 11,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.24 : 18,599.76 = 8,170.20 : x
  2. Step 2: Convert to fraction form
    13,476.24/18,599.76 = 8,170.20/x
  3. Step 3: Cross multiply
    13,476.24x = 18,599.76 × 8,170.20
  4. Step 4: Simplify right side
    13,476.24x = 151,963,759.15
  5. Step 5: Solve for x
    x = 151,963,759.15/13,476.24
  6. Step 6: Final answer
    x = 11,276.42

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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.