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Finding the Fourth Proportional to 17,657.94, 24,383.76 and 13,173.90

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Solution

The fourth proportional to 17,657.94, 24,383.76 and 13,173.90 is: 18,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.94 : 24,383.76 = 13,173.90 : x
  2. Step 2: Convert to fraction form
    17,657.94/24,383.76 = 13,173.90/x
  3. Step 3: Cross multiply
    17,657.94x = 24,383.76 × 13,173.90
  4. Step 4: Simplify right side
    17,657.94x = 321,229,215.86
  5. Step 5: Solve for x
    x = 321,229,215.86/17,657.94
  6. Step 6: Final answer
    x = 18,191.77

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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.