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Finding the Fourth Proportional to 13,141.80, 19,712.70 and 10,204.20

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Solution

The fourth proportional to 13,141.80, 19,712.70 and 10,204.20 is: 15,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.80 : 19,712.70 = 10,204.20 : x
  2. Step 2: Convert to fraction form
    13,141.80/19,712.70 = 10,204.20/x
  3. Step 3: Cross multiply
    13,141.80x = 19,712.70 × 10,204.20
  4. Step 4: Simplify right side
    13,141.80x = 201,152,333.34
  5. Step 5: Solve for x
    x = 201,152,333.34/13,141.80
  6. Step 6: Final answer
    x = 15,306.30

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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.