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Finding the Fourth Proportional to 17,471.90, 26,199.79 and 5,623.49

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Solution

The fourth proportional to 17,471.90, 26,199.79 and 5,623.49 is: 8,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.90 : 26,199.79 = 5,623.49 : x
  2. Step 2: Convert to fraction form
    17,471.90/26,199.79 = 5,623.49/x
  3. Step 3: Cross multiply
    17,471.90x = 26,199.79 × 5,623.49
  4. Step 4: Simplify right side
    17,471.90x = 147,334,257.07
  5. Step 5: Solve for x
    x = 147,334,257.07/17,471.90
  6. Step 6: Final answer
    x = 8,432.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.