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Finding the Fourth Proportional to 13,521.99, 20,283.03 and 4,161.84

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Solution

The fourth proportional to 13,521.99, 20,283.03 and 4,161.84 is: 6,242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,521.99 : 20,283.03 = 4,161.84 : x
  2. Step 2: Convert to fraction form
    13,521.99/20,283.03 = 4,161.84/x
  3. Step 3: Cross multiply
    13,521.99x = 20,283.03 × 4,161.84
  4. Step 4: Simplify right side
    13,521.99x = 84,414,725.58
  5. Step 5: Solve for x
    x = 84,414,725.58/13,521.99
  6. Step 6: Final answer
    x = 6,242.77

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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.