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Finding the Fourth Proportional to 13,328.50, 19,993.84 and 5,431.54

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Solution

The fourth proportional to 13,328.50, 19,993.84 and 5,431.54 is: 8,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,328.50 : 19,993.84 = 5,431.54 : x
  2. Step 2: Convert to fraction form
    13,328.50/19,993.84 = 5,431.54/x
  3. Step 3: Cross multiply
    13,328.50x = 19,993.84 × 5,431.54
  4. Step 4: Simplify right side
    13,328.50x = 108,597,341.71
  5. Step 5: Solve for x
    x = 108,597,341.71/13,328.50
  6. Step 6: Final answer
    x = 8,147.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.