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Finding the Fourth Proportional to 13,146.87, 18,143.07 and 7,178.64

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Solution

The fourth proportional to 13,146.87, 18,143.07 and 7,178.64 is: 9,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.87 : 18,143.07 = 7,178.64 : x
  2. Step 2: Convert to fraction form
    13,146.87/18,143.07 = 7,178.64/x
  3. Step 3: Cross multiply
    13,146.87x = 18,143.07 × 7,178.64
  4. Step 4: Simplify right side
    13,146.87x = 130,242,568.02
  5. Step 5: Solve for x
    x = 130,242,568.02/13,146.87
  6. Step 6: Final answer
    x = 9,906.74

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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.