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Finding the Fourth Proportional to 13,141.28, 18,133.32 and 7,835.12

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Solution

The fourth proportional to 13,141.28, 18,133.32 and 7,835.12 is: 10,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.28 : 18,133.32 = 7,835.12 : x
  2. Step 2: Convert to fraction form
    13,141.28/18,133.32 = 7,835.12/x
  3. Step 3: Cross multiply
    13,141.28x = 18,133.32 × 7,835.12
  4. Step 4: Simplify right side
    13,141.28x = 142,076,738.20
  5. Step 5: Solve for x
    x = 142,076,738.20/13,141.28
  6. Step 6: Final answer
    x = 10,811.48

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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.