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Finding the Fourth Proportional to 20,676.78, 31,009.68 and 8,987.25

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Solution

The fourth proportional to 20,676.78, 31,009.68 and 8,987.25 is: 13,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676.78 : 31,009.68 = 8,987.25 : x
  2. Step 2: Convert to fraction form
    20,676.78/31,009.68 = 8,987.25/x
  3. Step 3: Cross multiply
    20,676.78x = 31,009.68 × 8,987.25
  4. Step 4: Simplify right side
    20,676.78x = 278,691,746.58
  5. Step 5: Solve for x
    x = 278,691,746.58/20,676.78
  6. Step 6: Final answer
    x = 13,478.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.