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Finding the Fourth Proportional to 13,805.46, 20,705.30 and 4,446.32

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Solution

The fourth proportional to 13,805.46, 20,705.30 and 4,446.32 is: 6,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.46 : 20,705.30 = 4,446.32 : x
  2. Step 2: Convert to fraction form
    13,805.46/20,705.30 = 4,446.32/x
  3. Step 3: Cross multiply
    13,805.46x = 20,705.30 × 4,446.32
  4. Step 4: Simplify right side
    13,805.46x = 92,062,389.50
  5. Step 5: Solve for x
    x = 92,062,389.50/13,805.46
  6. Step 6: Final answer
    x = 6,668.55

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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.