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Finding the Fourth Proportional to 26,842.41, 40,219.74 and 13,676.67

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Solution

The fourth proportional to 26,842.41, 40,219.74 and 13,676.67 is: 20,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842.41 : 40,219.74 = 13,676.67 : x
  2. Step 2: Convert to fraction form
    26,842.41/40,219.74 = 13,676.67/x
  3. Step 3: Cross multiply
    26,842.41x = 40,219.74 × 13,676.67
  4. Step 4: Simplify right side
    26,842.41x = 550,072,111.47
  5. Step 5: Solve for x
    x = 550,072,111.47/26,842.41
  6. Step 6: Final answer
    x = 20,492.65

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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.