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Finding the Fourth Proportional to 17,471.74, 24,107.24 and 10,396.78

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Solution

The fourth proportional to 17,471.74, 24,107.24 and 10,396.78 is: 14,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.74 : 24,107.24 = 10,396.78 : x
  2. Step 2: Convert to fraction form
    17,471.74/24,107.24 = 10,396.78/x
  3. Step 3: Cross multiply
    17,471.74x = 24,107.24 × 10,396.78
  4. Step 4: Simplify right side
    17,471.74x = 250,637,670.69
  5. Step 5: Solve for x
    x = 250,637,670.69/17,471.74
  6. Step 6: Final answer
    x = 14,345.32

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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.