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Finding the Fourth Proportional to 13,049.69, 19,574.54 and 3,188.85

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Solution

The fourth proportional to 13,049.69, 19,574.54 and 3,188.85 is: 4,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.69 : 19,574.54 = 3,188.85 : x
  2. Step 2: Convert to fraction form
    13,049.69/19,574.54 = 3,188.85/x
  3. Step 3: Cross multiply
    13,049.69x = 19,574.54 × 3,188.85
  4. Step 4: Simplify right side
    13,049.69x = 62,420,255.93
  5. Step 5: Solve for x
    x = 62,420,255.93/13,049.69
  6. Step 6: Final answer
    x = 4,783.28

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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.