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Finding the Fourth Proportional to 26,914, 37,141.32 and 15,138

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Solution

The fourth proportional to 26,914, 37,141.32 and 15,138 is: 20,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,914 : 37,141.32 = 15,138 : x
  2. Step 2: Convert to fraction form
    26,914/37,141.32 = 15,138/x
  3. Step 3: Cross multiply
    26,914x = 37,141.32 × 15,138
  4. Step 4: Simplify right side
    26,914x = 562,245,302.16
  5. Step 5: Solve for x
    x = 562,245,302.16/26,914
  6. Step 6: Final answer
    x = 20,890.44

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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.