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Finding the Fourth Proportional to 17,184.44, 23,707.44 and 11,213.96

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Solution

The fourth proportional to 17,184.44, 23,707.44 and 11,213.96 is: 15,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.44 : 23,707.44 = 11,213.96 : x
  2. Step 2: Convert to fraction form
    17,184.44/23,707.44 = 11,213.96/x
  3. Step 3: Cross multiply
    17,184.44x = 23,707.44 × 11,213.96
  4. Step 4: Simplify right side
    17,184.44x = 265,854,283.86
  5. Step 5: Solve for x
    x = 265,854,283.86/17,184.44
  6. Step 6: Final answer
    x = 15,470.64

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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.