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Finding the Fourth Proportional to 22,605.63, 33,917.69 and 7,824.95

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Solution

The fourth proportional to 22,605.63, 33,917.69 and 7,824.95 is: 11,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.63 : 33,917.69 = 7,824.95 : x
  2. Step 2: Convert to fraction form
    22,605.63/33,917.69 = 7,824.95/x
  3. Step 3: Cross multiply
    22,605.63x = 33,917.69 × 7,824.95
  4. Step 4: Simplify right side
    22,605.63x = 265,404,352.30
  5. Step 5: Solve for x
    x = 265,404,352.30/22,605.63
  6. Step 6: Final answer
    x = 11,740.63

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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.