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Finding the Fourth Proportional to 17,797.14, 24,561.88 and 10,243.74

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Solution

The fourth proportional to 17,797.14, 24,561.88 and 10,243.74 is: 14,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.14 : 24,561.88 = 10,243.74 : x
  2. Step 2: Convert to fraction form
    17,797.14/24,561.88 = 10,243.74/x
  3. Step 3: Cross multiply
    17,797.14x = 24,561.88 × 10,243.74
  4. Step 4: Simplify right side
    17,797.14x = 251,605,512.63
  5. Step 5: Solve for x
    x = 251,605,512.63/17,797.14
  6. Step 6: Final answer
    x = 14,137.41

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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.