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Finding the Fourth Proportional to 22,164.71, 30,586.74 and 12,093.22

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Solution

The fourth proportional to 22,164.71, 30,586.74 and 12,093.22 is: 16,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.71 : 30,586.74 = 12,093.22 : x
  2. Step 2: Convert to fraction form
    22,164.71/30,586.74 = 12,093.22/x
  3. Step 3: Cross multiply
    22,164.71x = 30,586.74 × 12,093.22
  4. Step 4: Simplify right side
    22,164.71x = 369,892,288.82
  5. Step 5: Solve for x
    x = 369,892,288.82/22,164.71
  6. Step 6: Final answer
    x = 16,688.34

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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.