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Finding the Fourth Proportional to 13,460.40, 20,212.20 and 10,177.20

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Solution

The fourth proportional to 13,460.40, 20,212.20 and 10,177.20 is: 15,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.40 : 20,212.20 = 10,177.20 : x
  2. Step 2: Convert to fraction form
    13,460.40/20,212.20 = 10,177.20/x
  3. Step 3: Cross multiply
    13,460.40x = 20,212.20 × 10,177.20
  4. Step 4: Simplify right side
    13,460.40x = 205,703,601.84
  5. Step 5: Solve for x
    x = 205,703,601.84/13,460.40
  6. Step 6: Final answer
    x = 15,282.13

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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.