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Finding the Fourth Proportional to 22,098.36, 30,495.12 and 12,026.56

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Solution

The fourth proportional to 22,098.36, 30,495.12 and 12,026.56 is: 16,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.36 : 30,495.12 = 12,026.56 : x
  2. Step 2: Convert to fraction form
    22,098.36/30,495.12 = 12,026.56/x
  3. Step 3: Cross multiply
    22,098.36x = 30,495.12 × 12,026.56
  4. Step 4: Simplify right side
    22,098.36x = 366,751,390.39
  5. Step 5: Solve for x
    x = 366,751,390.39/22,098.36
  6. Step 6: Final answer
    x = 16,596.32

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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.