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Finding the Fourth Proportional to 22,072.98, 33,099.06 and 8,023.14

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Solution

The fourth proportional to 22,072.98, 33,099.06 and 8,023.14 is: 12,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,072.98 : 33,099.06 = 8,023.14 : x
  2. Step 2: Convert to fraction form
    22,072.98/33,099.06 = 8,023.14/x
  3. Step 3: Cross multiply
    22,072.98x = 33,099.06 × 8,023.14
  4. Step 4: Simplify right side
    22,072.98x = 265,558,392.25
  5. Step 5: Solve for x
    x = 265,558,392.25/22,072.98
  6. Step 6: Final answer
    x = 12,030.93

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1.5x scale

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.