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Finding the Fourth Proportional to 13,143.54, 18,137.40 and 7,174.05

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Solution

The fourth proportional to 13,143.54, 18,137.40 and 7,174.05 is: 9,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.54 : 18,137.40 = 7,174.05 : x
  2. Step 2: Convert to fraction form
    13,143.54/18,137.40 = 7,174.05/x
  3. Step 3: Cross multiply
    13,143.54x = 18,137.40 × 7,174.05
  4. Step 4: Simplify right side
    13,143.54x = 130,118,614.47
  5. Step 5: Solve for x
    x = 130,118,614.47/13,143.54
  6. Step 6: Final answer
    x = 9,899.82

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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.