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Finding the Fourth Proportional to 11,771.36, 17,670 and 9,945.12

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Solution

The fourth proportional to 11,771.36, 17,670 and 9,945.12 is: 14,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.36 : 17,670 = 9,945.12 : x
  2. Step 2: Convert to fraction form
    11,771.36/17,670 = 9,945.12/x
  3. Step 3: Cross multiply
    11,771.36x = 17,670 × 9,945.12
  4. Step 4: Simplify right side
    11,771.36x = 175,730,270.40
  5. Step 5: Solve for x
    x = 175,730,270.40/11,771.36
  6. Step 6: Final answer
    x = 14,928.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.