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Finding the Fourth Proportional to 12,147.72, 16,771.59 and 9,914.92

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Solution

The fourth proportional to 12,147.72, 16,771.59 and 9,914.92 is: 13,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.72 : 16,771.59 = 9,914.92 : x
  2. Step 2: Convert to fraction form
    12,147.72/16,771.59 = 9,914.92/x
  3. Step 3: Cross multiply
    12,147.72x = 16,771.59 × 9,914.92
  4. Step 4: Simplify right side
    12,147.72x = 166,288,973.12
  5. Step 5: Solve for x
    x = 166,288,973.12/12,147.72
  6. Step 6: Final answer
    x = 13,688.90

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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.