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Finding the Fourth Proportional to 13,466.10, 20,200.16 and 3,605.16

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Solution

The fourth proportional to 13,466.10, 20,200.16 and 3,605.16 is: 5,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.10 : 20,200.16 = 3,605.16 : x
  2. Step 2: Convert to fraction form
    13,466.10/20,200.16 = 3,605.16/x
  3. Step 3: Cross multiply
    13,466.10x = 20,200.16 × 3,605.16
  4. Step 4: Simplify right side
    13,466.10x = 72,824,817.84
  5. Step 5: Solve for x
    x = 72,824,817.84/13,466.10
  6. Step 6: Final answer
    x = 5,408.01

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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.