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Finding the Fourth Proportional to 13,283.81, 19,924.49 and 4,049.81

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Solution

The fourth proportional to 13,283.81, 19,924.49 and 4,049.81 is: 6,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.81 : 19,924.49 = 4,049.81 : x
  2. Step 2: Convert to fraction form
    13,283.81/19,924.49 = 4,049.81/x
  3. Step 3: Cross multiply
    13,283.81x = 19,924.49 × 4,049.81
  4. Step 4: Simplify right side
    13,283.81x = 80,690,384.07
  5. Step 5: Solve for x
    x = 80,690,384.07/13,283.81
  6. Step 6: Final answer
    x = 6,074.34

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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.