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Finding the Fourth Proportional to 14,965.96, 20,503.44 and 14,405.44

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Solution

The fourth proportional to 14,965.96, 20,503.44 and 14,405.44 is: 19,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.96 : 20,503.44 = 14,405.44 : x
  2. Step 2: Convert to fraction form
    14,965.96/20,503.44 = 14,405.44/x
  3. Step 3: Cross multiply
    14,965.96x = 20,503.44 × 14,405.44
  4. Step 4: Simplify right side
    14,965.96x = 295,361,074.71
  5. Step 5: Solve for x
    x = 295,361,074.71/14,965.96
  6. Step 6: Final answer
    x = 19,735.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.