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Finding the Fourth Proportional to 22,762.54, 34,143.81 and 7,181.38

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Solution

The fourth proportional to 22,762.54, 34,143.81 and 7,181.38 is: 10,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.54 : 34,143.81 = 7,181.38 : x
  2. Step 2: Convert to fraction form
    22,762.54/34,143.81 = 7,181.38/x
  3. Step 3: Cross multiply
    22,762.54x = 34,143.81 × 7,181.38
  4. Step 4: Simplify right side
    22,762.54x = 245,199,467.63
  5. Step 5: Solve for x
    x = 245,199,467.63/22,762.54
  6. Step 6: Final answer
    x = 10,772.06

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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.