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Finding the Fourth Proportional to 13,758.14, 20,630.91 and 4,396.34

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Solution

The fourth proportional to 13,758.14, 20,630.91 and 4,396.34 is: 6,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.14 : 20,630.91 = 4,396.34 : x
  2. Step 2: Convert to fraction form
    13,758.14/20,630.91 = 4,396.34/x
  3. Step 3: Cross multiply
    13,758.14x = 20,630.91 × 4,396.34
  4. Step 4: Simplify right side
    13,758.14x = 90,700,494.87
  5. Step 5: Solve for x
    x = 90,700,494.87/13,758.14
  6. Step 6: Final answer
    x = 6,592.50

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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.