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Finding the Fourth Proportional to 26,531, 36,610.38 and 14,594.84

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Solution

The fourth proportional to 26,531, 36,610.38 and 14,594.84 is: 20,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,531 : 36,610.38 = 14,594.84 : x
  2. Step 2: Convert to fraction form
    26,531/36,610.38 = 14,594.84/x
  3. Step 3: Cross multiply
    26,531x = 36,610.38 × 14,594.84
  4. Step 4: Simplify right side
    26,531x = 534,322,638.44
  5. Step 5: Solve for x
    x = 534,322,638.44/26,531
  6. Step 6: Final answer
    x = 20,139.56

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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.