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Finding the Fourth Proportional to 22,807.22, 34,212.63 and 8,019.46

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Solution

The fourth proportional to 22,807.22, 34,212.63 and 8,019.46 is: 12,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.22 : 34,212.63 = 8,019.46 : x
  2. Step 2: Convert to fraction form
    22,807.22/34,212.63 = 8,019.46/x
  3. Step 3: Cross multiply
    22,807.22x = 34,212.63 × 8,019.46
  4. Step 4: Simplify right side
    22,807.22x = 274,366,653.06
  5. Step 5: Solve for x
    x = 274,366,653.06/22,807.22
  6. Step 6: Final answer
    x = 12,029.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.