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Finding the Fourth Proportional to 13,147.76, 18,143.24 and 7,178.28

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Solution

The fourth proportional to 13,147.76, 18,143.24 and 7,178.28 is: 9,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.76 : 18,143.24 = 7,178.28 : x
  2. Step 2: Convert to fraction form
    13,147.76/18,143.24 = 7,178.28/x
  3. Step 3: Cross multiply
    13,147.76x = 18,143.24 × 7,178.28
  4. Step 4: Simplify right side
    13,147.76x = 130,237,220.94
  5. Step 5: Solve for x
    x = 130,237,220.94/13,147.76
  6. Step 6: Final answer
    x = 9,905.66

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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.