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Finding the Fourth Proportional to 13,742.28, 18,954.62 and 8,440.02

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Solution

The fourth proportional to 13,742.28, 18,954.62 and 8,440.02 is: 11,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.28 : 18,954.62 = 8,440.02 : x
  2. Step 2: Convert to fraction form
    13,742.28/18,954.62 = 8,440.02/x
  3. Step 3: Cross multiply
    13,742.28x = 18,954.62 × 8,440.02
  4. Step 4: Simplify right side
    13,742.28x = 159,977,371.89
  5. Step 5: Solve for x
    x = 159,977,371.89/13,742.28
  6. Step 6: Final answer
    x = 11,641.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.