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Finding the Fourth Proportional to 13,456.94, 18,568.24 and 8,419.55

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Solution

The fourth proportional to 13,456.94, 18,568.24 and 8,419.55 is: 11,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.94 : 18,568.24 = 8,419.55 : x
  2. Step 2: Convert to fraction form
    13,456.94/18,568.24 = 8,419.55/x
  3. Step 3: Cross multiply
    13,456.94x = 18,568.24 × 8,419.55
  4. Step 4: Simplify right side
    13,456.94x = 156,336,111.20
  5. Step 5: Solve for x
    x = 156,336,111.20/13,456.94
  6. Step 6: Final answer
    x = 11,617.51

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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.