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Finding the Fourth Proportional to 17,096.86, 23,593.24 and 11,117.24

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Solution

The fourth proportional to 17,096.86, 23,593.24 and 11,117.24 is: 15,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.86 : 23,593.24 = 11,117.24 : x
  2. Step 2: Convert to fraction form
    17,096.86/23,593.24 = 11,117.24/x
  3. Step 3: Cross multiply
    17,096.86x = 23,593.24 × 11,117.24
  4. Step 4: Simplify right side
    17,096.86x = 262,291,711.46
  5. Step 5: Solve for x
    x = 262,291,711.46/17,096.86
  6. Step 6: Final answer
    x = 15,341.51

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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.