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Finding the Fourth Proportional to 17,454, 24,086.34 and 10,380.27

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Solution

The fourth proportional to 17,454, 24,086.34 and 10,380.27 is: 14,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454 : 24,086.34 = 10,380.27 : x
  2. Step 2: Convert to fraction form
    17,454/24,086.34 = 10,380.27/x
  3. Step 3: Cross multiply
    17,454x = 24,086.34 × 10,380.27
  4. Step 4: Simplify right side
    17,454x = 250,022,712.51
  5. Step 5: Solve for x
    x = 250,022,712.51/17,454
  6. Step 6: Final answer
    x = 14,324.67

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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.