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Finding the Fourth Proportional to 11,777.40, 17,666.10 and 9,876.60

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Solution

The fourth proportional to 11,777.40, 17,666.10 and 9,876.60 is: 14,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.40 : 17,666.10 = 9,876.60 : x
  2. Step 2: Convert to fraction form
    11,777.40/17,666.10 = 9,876.60/x
  3. Step 3: Cross multiply
    11,777.40x = 17,666.10 × 9,876.60
  4. Step 4: Simplify right side
    11,777.40x = 174,481,003.26
  5. Step 5: Solve for x
    x = 174,481,003.26/11,777.40
  6. Step 6: Final answer
    x = 14,814.90

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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.