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Finding the Fourth Proportional to 19,674, 29,515.86 and 5,823

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Solution

The fourth proportional to 19,674, 29,515.86 and 5,823 is: 8,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674 : 29,515.86 = 5,823 : x
  2. Step 2: Convert to fraction form
    19,674/29,515.86 = 5,823/x
  3. Step 3: Cross multiply
    19,674x = 29,515.86 × 5,823
  4. Step 4: Simplify right side
    19,674x = 171,870,852.78
  5. Step 5: Solve for x
    x = 171,870,852.78/19,674
  6. Step 6: Final answer
    x = 8,735.94

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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.