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Finding the Fourth Proportional to 13,771.60, 20,657.40 and 12,821.20

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Solution

The fourth proportional to 13,771.60, 20,657.40 and 12,821.20 is: 19,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.60 : 20,657.40 = 12,821.20 : x
  2. Step 2: Convert to fraction form
    13,771.60/20,657.40 = 12,821.20/x
  3. Step 3: Cross multiply
    13,771.60x = 20,657.40 × 12,821.20
  4. Step 4: Simplify right side
    13,771.60x = 264,852,656.88
  5. Step 5: Solve for x
    x = 264,852,656.88/13,771.60
  6. Step 6: Final answer
    x = 19,231.80

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1.5x scale

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.