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Finding the Fourth Proportional to 12,147.34, 16,771.07 and 9,914.54

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Solution

The fourth proportional to 12,147.34, 16,771.07 and 9,914.54 is: 13,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.34 : 16,771.07 = 9,914.54 : x
  2. Step 2: Convert to fraction form
    12,147.34/16,771.07 = 9,914.54/x
  3. Step 3: Cross multiply
    12,147.34x = 16,771.07 × 9,914.54
  4. Step 4: Simplify right side
    12,147.34x = 166,277,436.71
  5. Step 5: Solve for x
    x = 166,277,436.71/12,147.34
  6. Step 6: Final answer
    x = 13,688.39

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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.