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Finding the Fourth Proportional to 19,906.34, 27,459.32 and 12,441.38

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Solution

The fourth proportional to 19,906.34, 27,459.32 and 12,441.38 is: 17,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906.34 : 27,459.32 = 12,441.38 : x
  2. Step 2: Convert to fraction form
    19,906.34/27,459.32 = 12,441.38/x
  3. Step 3: Cross multiply
    19,906.34x = 27,459.32 × 12,441.38
  4. Step 4: Simplify right side
    19,906.34x = 341,631,635.16
  5. Step 5: Solve for x
    x = 341,631,635.16/19,906.34
  6. Step 6: Final answer
    x = 17,161.96

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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.