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Finding the Fourth Proportional to 22,829.94, 34,243.02 and 8,978.94

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Solution

The fourth proportional to 22,829.94, 34,243.02 and 8,978.94 is: 13,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829.94 : 34,243.02 = 8,978.94 : x
  2. Step 2: Convert to fraction form
    22,829.94/34,243.02 = 8,978.94/x
  3. Step 3: Cross multiply
    22,829.94x = 34,243.02 × 8,978.94
  4. Step 4: Simplify right side
    22,829.94x = 307,466,022.00
  5. Step 5: Solve for x
    x = 307,466,022.00/22,829.94
  6. Step 6: Final answer
    x = 13,467.67

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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.