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Finding the Fourth Proportional to 13,019.27, 19,525.19 and 3,658.64

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Solution

The fourth proportional to 13,019.27, 19,525.19 and 3,658.64 is: 5,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.27 : 19,525.19 = 3,658.64 : x
  2. Step 2: Convert to fraction form
    13,019.27/19,525.19 = 3,658.64/x
  3. Step 3: Cross multiply
    13,019.27x = 19,525.19 × 3,658.64
  4. Step 4: Simplify right side
    13,019.27x = 71,435,525.22
  5. Step 5: Solve for x
    x = 71,435,525.22/13,019.27
  6. Step 6: Final answer
    x = 5,486.91

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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.