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Finding the Fourth Proportional to 13,142.64, 18,132.44 and 8,174.32

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Solution

The fourth proportional to 13,142.64, 18,132.44 and 8,174.32 is: 11,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.64 : 18,132.44 = 8,174.32 : x
  2. Step 2: Convert to fraction form
    13,142.64/18,132.44 = 8,174.32/x
  3. Step 3: Cross multiply
    13,142.64x = 18,132.44 × 8,174.32
  4. Step 4: Simplify right side
    13,142.64x = 148,220,366.94
  5. Step 5: Solve for x
    x = 148,220,366.94/13,142.64
  6. Step 6: Final answer
    x = 11,277.82

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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.