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Finding the Fourth Proportional to 27,614.57, 38,106.77 and 15,676.29

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Solution

The fourth proportional to 27,614.57, 38,106.77 and 15,676.29 is: 21,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.57 : 38,106.77 = 15,676.29 : x
  2. Step 2: Convert to fraction form
    27,614.57/38,106.77 = 15,676.29/x
  3. Step 3: Cross multiply
    27,614.57x = 38,106.77 × 15,676.29
  4. Step 4: Simplify right side
    27,614.57x = 597,372,699.10
  5. Step 5: Solve for x
    x = 597,372,699.10/27,614.57
  6. Step 6: Final answer
    x = 21,632.52

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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.