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Finding the Fourth Proportional to 15,676.09, 23,499.74 and 6,785.85

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Solution

The fourth proportional to 15,676.09, 23,499.74 and 6,785.85 is: 10,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.09 : 23,499.74 = 6,785.85 : x
  2. Step 2: Convert to fraction form
    15,676.09/23,499.74 = 6,785.85/x
  3. Step 3: Cross multiply
    15,676.09x = 23,499.74 × 6,785.85
  4. Step 4: Simplify right side
    15,676.09x = 159,465,747.29
  5. Step 5: Solve for x
    x = 159,465,747.29/15,676.09
  6. Step 6: Final answer
    x = 10,172.55

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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.