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Finding the Fourth Proportional to 17,471.61, 26,211.74 and 5,786.01

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Solution

The fourth proportional to 17,471.61, 26,211.74 and 5,786.01 is: 8,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.61 : 26,211.74 = 5,786.01 : x
  2. Step 2: Convert to fraction form
    17,471.61/26,211.74 = 5,786.01/x
  3. Step 3: Cross multiply
    17,471.61x = 26,211.74 × 5,786.01
  4. Step 4: Simplify right side
    17,471.61x = 151,661,360.83
  5. Step 5: Solve for x
    x = 151,661,360.83/17,471.61
  6. Step 6: Final answer
    x = 8,680.45

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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.