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Finding the Fourth Proportional to 13,157.80, 19,736.70 and 10,220.20

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Solution

The fourth proportional to 13,157.80, 19,736.70 and 10,220.20 is: 15,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.80 : 19,736.70 = 10,220.20 : x
  2. Step 2: Convert to fraction form
    13,157.80/19,736.70 = 10,220.20/x
  3. Step 3: Cross multiply
    13,157.80x = 19,736.70 × 10,220.20
  4. Step 4: Simplify right side
    13,157.80x = 201,713,021.34
  5. Step 5: Solve for x
    x = 201,713,021.34/13,157.80
  6. Step 6: Final answer
    x = 15,330.30

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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.