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Finding the Fourth Proportional to 13,064.24, 19,596.64 and 3,830.24

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Solution

The fourth proportional to 13,064.24, 19,596.64 and 3,830.24 is: 5,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.24 : 19,596.64 = 3,830.24 : x
  2. Step 2: Convert to fraction form
    13,064.24/19,596.64 = 3,830.24/x
  3. Step 3: Cross multiply
    13,064.24x = 19,596.64 × 3,830.24
  4. Step 4: Simplify right side
    13,064.24x = 75,059,834.39
  5. Step 5: Solve for x
    x = 75,059,834.39/13,064.24
  6. Step 6: Final answer
    x = 5,745.44

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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.