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Finding the Fourth Proportional to 13,411.08, 20,114.34 and 3,550.50

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Solution

The fourth proportional to 13,411.08, 20,114.34 and 3,550.50 is: 5,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.08 : 20,114.34 = 3,550.50 : x
  2. Step 2: Convert to fraction form
    13,411.08/20,114.34 = 3,550.50/x
  3. Step 3: Cross multiply
    13,411.08x = 20,114.34 × 3,550.50
  4. Step 4: Simplify right side
    13,411.08x = 71,415,964.17
  5. Step 5: Solve for x
    x = 71,415,964.17/13,411.08
  6. Step 6: Final answer
    x = 5,325.15

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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.