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Finding the Fourth Proportional to 22,984.00, 34,482.71 and 8,194.11

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Solution

The fourth proportional to 22,984.00, 34,482.71 and 8,194.11 is: 12,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.00 : 34,482.71 = 8,194.11 : x
  2. Step 2: Convert to fraction form
    22,984.00/34,482.71 = 8,194.11/x
  3. Step 3: Cross multiply
    22,984.00x = 34,482.71 × 8,194.11
  4. Step 4: Simplify right side
    22,984.00x = 282,555,203.98
  5. Step 5: Solve for x
    x = 282,555,203.98/22,984.00
  6. Step 6: Final answer
    x = 12,293.56

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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.