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Finding the Fourth Proportional to 13,578.31, 18,740.69 and 8,854.39

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Solution

The fourth proportional to 13,578.31, 18,740.69 and 8,854.39 is: 12,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.31 : 18,740.69 = 8,854.39 : x
  2. Step 2: Convert to fraction form
    13,578.31/18,740.69 = 8,854.39/x
  3. Step 3: Cross multiply
    13,578.31x = 18,740.69 × 8,854.39
  4. Step 4: Simplify right side
    13,578.31x = 165,937,353.41
  5. Step 5: Solve for x
    x = 165,937,353.41/13,578.31
  6. Step 6: Final answer
    x = 12,220.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.