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Finding the Fourth Proportional to 19,880.55, 29,834.24 and 8,193.51

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Solution

The fourth proportional to 19,880.55, 29,834.24 and 8,193.51 is: 12,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880.55 : 29,834.24 = 8,193.51 : x
  2. Step 2: Convert to fraction form
    19,880.55/29,834.24 = 8,193.51/x
  3. Step 3: Cross multiply
    19,880.55x = 29,834.24 × 8,193.51
  4. Step 4: Simplify right side
    19,880.55x = 244,447,102.81
  5. Step 5: Solve for x
    x = 244,447,102.81/19,880.55
  6. Step 6: Final answer
    x = 12,295.79

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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.