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Finding the Fourth Proportional to 22,868, 34,303.92 and 6,452

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Solution

The fourth proportional to 22,868, 34,303.92 and 6,452 is: 9,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,868 : 34,303.92 = 6,452 : x
  2. Step 2: Convert to fraction form
    22,868/34,303.92 = 6,452/x
  3. Step 3: Cross multiply
    22,868x = 34,303.92 × 6,452
  4. Step 4: Simplify right side
    22,868x = 221,328,891.84
  5. Step 5: Solve for x
    x = 221,328,891.84/22,868
  6. Step 6: Final answer
    x = 9,678.54

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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.