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Finding the Fourth Proportional to 13,147.02, 18,142.18 and 7,178.60

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Solution

The fourth proportional to 13,147.02, 18,142.18 and 7,178.60 is: 9,906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.02 : 18,142.18 = 7,178.60 : x
  2. Step 2: Convert to fraction form
    13,147.02/18,142.18 = 7,178.60/x
  3. Step 3: Cross multiply
    13,147.02x = 18,142.18 × 7,178.60
  4. Step 4: Simplify right side
    13,147.02x = 130,235,453.35
  5. Step 5: Solve for x
    x = 130,235,453.35/13,147.02
  6. Step 6: Final answer
    x = 9,906.08

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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.