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Finding the Fourth Proportional to 13,713.80, 20,570.70 and 12,216.20

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Solution

The fourth proportional to 13,713.80, 20,570.70 and 12,216.20 is: 18,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.80 : 20,570.70 = 12,216.20 : x
  2. Step 2: Convert to fraction form
    13,713.80/20,570.70 = 12,216.20/x
  3. Step 3: Cross multiply
    13,713.80x = 20,570.70 × 12,216.20
  4. Step 4: Simplify right side
    13,713.80x = 251,295,785.34
  5. Step 5: Solve for x
    x = 251,295,785.34/13,713.80
  6. Step 6: Final answer
    x = 18,324.30

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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.