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Finding the Fourth Proportional to 14,296.85, 19,729.86 and 8,009.27

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Solution

The fourth proportional to 14,296.85, 19,729.86 and 8,009.27 is: 11,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.85 : 19,729.86 = 8,009.27 : x
  2. Step 2: Convert to fraction form
    14,296.85/19,729.86 = 8,009.27/x
  3. Step 3: Cross multiply
    14,296.85x = 19,729.86 × 8,009.27
  4. Step 4: Simplify right side
    14,296.85x = 158,021,775.80
  5. Step 5: Solve for x
    x = 158,021,775.80/14,296.85
  6. Step 6: Final answer
    x = 11,052.91

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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.