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Finding the Fourth Proportional to 11,999.66, 16,564.10 and 9,440.80

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Solution

The fourth proportional to 11,999.66, 16,564.10 and 9,440.80 is: 13,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.66 : 16,564.10 = 9,440.80 : x
  2. Step 2: Convert to fraction form
    11,999.66/16,564.10 = 9,440.80/x
  3. Step 3: Cross multiply
    11,999.66x = 16,564.10 × 9,440.80
  4. Step 4: Simplify right side
    11,999.66x = 156,378,266.67
  5. Step 5: Solve for x
    x = 156,378,266.67/11,999.66
  6. Step 6: Final answer
    x = 13,031.90

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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.