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Finding the Fourth Proportional to 22,097.09, 30,494.62 and 12,026.18

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Solution

The fourth proportional to 22,097.09, 30,494.62 and 12,026.18 is: 16,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.09 : 30,494.62 = 12,026.18 : x
  2. Step 2: Convert to fraction form
    22,097.09/30,494.62 = 12,026.18/x
  3. Step 3: Cross multiply
    22,097.09x = 30,494.62 × 12,026.18
  4. Step 4: Simplify right side
    22,097.09x = 366,733,789.15
  5. Step 5: Solve for x
    x = 366,733,789.15/22,097.09
  6. Step 6: Final answer
    x = 16,596.47

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