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Finding the Fourth Proportional to 14,296.56, 19,729.26 and 8,009.07

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Solution

The fourth proportional to 14,296.56, 19,729.26 and 8,009.07 is: 11,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.56 : 19,729.26 = 8,009.07 : x
  2. Step 2: Convert to fraction form
    14,296.56/19,729.26 = 8,009.07/x
  3. Step 3: Cross multiply
    14,296.56x = 19,729.26 × 8,009.07
  4. Step 4: Simplify right side
    14,296.56x = 158,013,024.39
  5. Step 5: Solve for x
    x = 158,013,024.39/14,296.56
  6. Step 6: Final answer
    x = 11,052.52

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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.