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Finding the Fourth Proportional to 13,578.21, 18,740.57 and 8,854.29

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Solution

The fourth proportional to 13,578.21, 18,740.57 and 8,854.29 is: 12,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.21 : 18,740.57 = 8,854.29 : x
  2. Step 2: Convert to fraction form
    13,578.21/18,740.57 = 8,854.29/x
  3. Step 3: Cross multiply
    13,578.21x = 18,740.57 × 8,854.29
  4. Step 4: Simplify right side
    13,578.21x = 165,934,397.27
  5. Step 5: Solve for x
    x = 165,934,397.27/13,578.21
  6. Step 6: Final answer
    x = 12,220.64

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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.