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Finding the Fourth Proportional to 22,940.88, 34,355.76 and 11,666.58

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Solution

The fourth proportional to 22,940.88, 34,355.76 and 11,666.58 is: 17,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940.88 : 34,355.76 = 11,666.58 : x
  2. Step 2: Convert to fraction form
    22,940.88/34,355.76 = 11,666.58/x
  3. Step 3: Cross multiply
    22,940.88x = 34,355.76 × 11,666.58
  4. Step 4: Simplify right side
    22,940.88x = 400,814,222.50
  5. Step 5: Solve for x
    x = 400,814,222.50/22,940.88
  6. Step 6: Final answer
    x = 17,471.61

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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.