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Finding the Fourth Proportional to 13,820.51, 20,730.67 and 3,959.80

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Solution

The fourth proportional to 13,820.51, 20,730.67 and 3,959.80 is: 5,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.51 : 20,730.67 = 3,959.80 : x
  2. Step 2: Convert to fraction form
    13,820.51/20,730.67 = 3,959.80/x
  3. Step 3: Cross multiply
    13,820.51x = 20,730.67 × 3,959.80
  4. Step 4: Simplify right side
    13,820.51x = 82,089,307.07
  5. Step 5: Solve for x
    x = 82,089,307.07/13,820.51
  6. Step 6: Final answer
    x = 5,939.67

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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.