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Finding the Fourth Proportional to 13,050.69, 19,576.04 and 3,189.85

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Solution

The fourth proportional to 13,050.69, 19,576.04 and 3,189.85 is: 4,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050.69 : 19,576.04 = 3,189.85 : x
  2. Step 2: Convert to fraction form
    13,050.69/19,576.04 = 3,189.85/x
  3. Step 3: Cross multiply
    13,050.69x = 19,576.04 × 3,189.85
  4. Step 4: Simplify right side
    13,050.69x = 62,444,631.19
  5. Step 5: Solve for x
    x = 62,444,631.19/13,050.69
  6. Step 6: Final answer
    x = 4,784.78

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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.