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Finding the Fourth Proportional to 13,165.32, 18,165.72 and 8,133.84

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Solution

The fourth proportional to 13,165.32, 18,165.72 and 8,133.84 is: 11,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.32 : 18,165.72 = 8,133.84 : x
  2. Step 2: Convert to fraction form
    13,165.32/18,165.72 = 8,133.84/x
  3. Step 3: Cross multiply
    13,165.32x = 18,165.72 × 8,133.84
  4. Step 4: Simplify right side
    13,165.32x = 147,757,059.96
  5. Step 5: Solve for x
    x = 147,757,059.96/13,165.32
  6. Step 6: Final answer
    x = 11,223.20

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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.