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Finding the Fourth Proportional to 27,342.08, 37,735.68 and 15,408

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Solution

The fourth proportional to 27,342.08, 37,735.68 and 15,408 is: 21,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342.08 : 37,735.68 = 15,408 : x
  2. Step 2: Convert to fraction form
    27,342.08/37,735.68 = 15,408/x
  3. Step 3: Cross multiply
    27,342.08x = 37,735.68 × 15,408
  4. Step 4: Simplify right side
    27,342.08x = 581,431,357.44
  5. Step 5: Solve for x
    x = 581,431,357.44/27,342.08
  6. Step 6: Final answer
    x = 21,265.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.