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Finding the Fourth Proportional to 19,674, 29,516.78 and 5,823.36

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Solution

The fourth proportional to 19,674, 29,516.78 and 5,823.36 is: 8,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674 : 29,516.78 = 5,823.36 : x
  2. Step 2: Convert to fraction form
    19,674/29,516.78 = 5,823.36/x
  3. Step 3: Cross multiply
    19,674x = 29,516.78 × 5,823.36
  4. Step 4: Simplify right side
    19,674x = 171,886,835.98
  5. Step 5: Solve for x
    x = 171,886,835.98/19,674
  6. Step 6: Final answer
    x = 8,736.75

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