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Finding the Fourth Proportional to 26,844, 37,044.72 and 15,666

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Solution

The fourth proportional to 26,844, 37,044.72 and 15,666 is: 21,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,844 : 37,044.72 = 15,666 : x
  2. Step 2: Convert to fraction form
    26,844/37,044.72 = 15,666/x
  3. Step 3: Cross multiply
    26,844x = 37,044.72 × 15,666
  4. Step 4: Simplify right side
    26,844x = 580,342,583.52
  5. Step 5: Solve for x
    x = 580,342,583.52/26,844
  6. Step 6: Final answer
    x = 21,619.08

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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.