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Finding the Fourth Proportional to 26,738.49, 40,111.17 and 12,497.02

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Solution

The fourth proportional to 26,738.49, 40,111.17 and 12,497.02 is: 18,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,738.49 : 40,111.17 = 12,497.02 : x
  2. Step 2: Convert to fraction form
    26,738.49/40,111.17 = 12,497.02/x
  3. Step 3: Cross multiply
    26,738.49x = 40,111.17 × 12,497.02
  4. Step 4: Simplify right side
    26,738.49x = 501,270,093.71
  5. Step 5: Solve for x
    x = 501,270,093.71/26,738.49
  6. Step 6: Final answer
    x = 18,747.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.