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Finding the Fourth Proportional to 13,873.24, 20,812.74 and 4,639

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Solution

The fourth proportional to 13,873.24, 20,812.74 and 4,639 is: 6,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.24 : 20,812.74 = 4,639 : x
  2. Step 2: Convert to fraction form
    13,873.24/20,812.74 = 4,639/x
  3. Step 3: Cross multiply
    13,873.24x = 20,812.74 × 4,639
  4. Step 4: Simplify right side
    13,873.24x = 96,550,300.86
  5. Step 5: Solve for x
    x = 96,550,300.86/13,873.24
  6. Step 6: Final answer
    x = 6,959.46

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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.