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Finding the Fourth Proportional to 22,099.37, 30,497.78 and 12,028.47

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Solution

The fourth proportional to 22,099.37, 30,497.78 and 12,028.47 is: 16,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099.37 : 30,497.78 = 12,028.47 : x
  2. Step 2: Convert to fraction form
    22,099.37/30,497.78 = 12,028.47/x
  3. Step 3: Cross multiply
    22,099.37x = 30,497.78 × 12,028.47
  4. Step 4: Simplify right side
    22,099.37x = 366,841,509.38
  5. Step 5: Solve for x
    x = 366,841,509.38/22,099.37
  6. Step 6: Final answer
    x = 16,599.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.