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Finding the Fourth Proportional to 22,862.08, 34,296 and 7,274.08

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Solution

The fourth proportional to 22,862.08, 34,296 and 7,274.08 is: 10,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.08 : 34,296 = 7,274.08 : x
  2. Step 2: Convert to fraction form
    22,862.08/34,296 = 7,274.08/x
  3. Step 3: Cross multiply
    22,862.08x = 34,296 × 7,274.08
  4. Step 4: Simplify right side
    22,862.08x = 249,471,847.68
  5. Step 5: Solve for x
    x = 249,471,847.68/22,862.08
  6. Step 6: Final answer
    x = 10,912.04

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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.