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Finding the Fourth Proportional to 17,140.20, 25,710.30 and 10,228.20

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Solution

The fourth proportional to 17,140.20, 25,710.30 and 10,228.20 is: 15,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.20 : 25,710.30 = 10,228.20 : x
  2. Step 2: Convert to fraction form
    17,140.20/25,710.30 = 10,228.20/x
  3. Step 3: Cross multiply
    17,140.20x = 25,710.30 × 10,228.20
  4. Step 4: Simplify right side
    17,140.20x = 262,970,090.46
  5. Step 5: Solve for x
    x = 262,970,090.46/17,140.20
  6. Step 6: Final answer
    x = 15,342.30

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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.