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Finding the Fourth Proportional to 13,842.93, 20,761.29 and 3,980.01

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Solution

The fourth proportional to 13,842.93, 20,761.29 and 3,980.01 is: 5,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.93 : 20,761.29 = 3,980.01 : x
  2. Step 2: Convert to fraction form
    13,842.93/20,761.29 = 3,980.01/x
  3. Step 3: Cross multiply
    13,842.93x = 20,761.29 × 3,980.01
  4. Step 4: Simplify right side
    13,842.93x = 82,630,141.81
  5. Step 5: Solve for x
    x = 82,630,141.81/13,842.93
  6. Step 6: Final answer
    x = 5,969.12

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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.