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Finding the Fourth Proportional to 13,678.57, 18,884.56 and 8,971.05

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Solution

The fourth proportional to 13,678.57, 18,884.56 and 8,971.05 is: 12,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.57 : 18,884.56 = 8,971.05 : x
  2. Step 2: Convert to fraction form
    13,678.57/18,884.56 = 8,971.05/x
  3. Step 3: Cross multiply
    13,678.57x = 18,884.56 × 8,971.05
  4. Step 4: Simplify right side
    13,678.57x = 169,414,331.99
  5. Step 5: Solve for x
    x = 169,414,331.99/13,678.57
  6. Step 6: Final answer
    x = 12,385.39

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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.