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Finding the Fourth Proportional to 13,409.64, 20,114.04 and 3,549

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Solution

The fourth proportional to 13,409.64, 20,114.04 and 3,549 is: 5,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.64 : 20,114.04 = 3,549 : x
  2. Step 2: Convert to fraction form
    13,409.64/20,114.04 = 3,549/x
  3. Step 3: Cross multiply
    13,409.64x = 20,114.04 × 3,549
  4. Step 4: Simplify right side
    13,409.64x = 71,384,727.96
  5. Step 5: Solve for x
    x = 71,384,727.96/13,409.64
  6. Step 6: Final answer
    x = 5,323.39

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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.