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Finding the Fourth Proportional to 17,968.20, 24,793.84 and 10,009.84

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Solution

The fourth proportional to 17,968.20, 24,793.84 and 10,009.84 is: 13,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,968.20 : 24,793.84 = 10,009.84 : x
  2. Step 2: Convert to fraction form
    17,968.20/24,793.84 = 10,009.84/x
  3. Step 3: Cross multiply
    17,968.20x = 24,793.84 × 10,009.84
  4. Step 4: Simplify right side
    17,968.20x = 248,182,371.39
  5. Step 5: Solve for x
    x = 248,182,371.39/17,968.20
  6. Step 6: Final answer
    x = 13,812.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.