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Finding the Fourth Proportional to 13,782.40, 20,673.60 and 13,244.80

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Solution

The fourth proportional to 13,782.40, 20,673.60 and 13,244.80 is: 19,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.40 : 20,673.60 = 13,244.80 : x
  2. Step 2: Convert to fraction form
    13,782.40/20,673.60 = 13,244.80/x
  3. Step 3: Cross multiply
    13,782.40x = 20,673.60 × 13,244.80
  4. Step 4: Simplify right side
    13,782.40x = 273,817,697.28
  5. Step 5: Solve for x
    x = 273,817,697.28/13,782.40
  6. Step 6: Final answer
    x = 19,867.20

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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.