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Finding the Fourth Proportional to 14,296.67, 19,745.96 and 9,508.32

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Solution

The fourth proportional to 14,296.67, 19,745.96 and 9,508.32 is: 13,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.67 : 19,745.96 = 9,508.32 : x
  2. Step 2: Convert to fraction form
    14,296.67/19,745.96 = 9,508.32/x
  3. Step 3: Cross multiply
    14,296.67x = 19,745.96 × 9,508.32
  4. Step 4: Simplify right side
    14,296.67x = 187,750,858.85
  5. Step 5: Solve for x
    x = 187,750,858.85/14,296.67
  6. Step 6: Final answer
    x = 13,132.49

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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.