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Finding the Fourth Proportional to 13,669.60, 20,504.40 and 10,213.60

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Solution

The fourth proportional to 13,669.60, 20,504.40 and 10,213.60 is: 15,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.60 : 20,504.40 = 10,213.60 : x
  2. Step 2: Convert to fraction form
    13,669.60/20,504.40 = 10,213.60/x
  3. Step 3: Cross multiply
    13,669.60x = 20,504.40 × 10,213.60
  4. Step 4: Simplify right side
    13,669.60x = 209,423,739.84
  5. Step 5: Solve for x
    x = 209,423,739.84/13,669.60
  6. Step 6: Final answer
    x = 15,320.40

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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.