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Finding the Fourth Proportional to 26,261, 36,239.56 and 14,324.43

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Solution

The fourth proportional to 26,261, 36,239.56 and 14,324.43 is: 19,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,261 : 36,239.56 = 14,324.43 : x
  2. Step 2: Convert to fraction form
    26,261/36,239.56 = 14,324.43/x
  3. Step 3: Cross multiply
    26,261x = 36,239.56 × 14,324.43
  4. Step 4: Simplify right side
    26,261x = 519,111,040.45
  5. Step 5: Solve for x
    x = 519,111,040.45/26,261
  6. Step 6: Final answer
    x = 19,767.38

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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.