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Finding the Fourth Proportional to 13,122.16, 18,107.67 and 7,380.47

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Solution

The fourth proportional to 13,122.16, 18,107.67 and 7,380.47 is: 10,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.16 : 18,107.67 = 7,380.47 : x
  2. Step 2: Convert to fraction form
    13,122.16/18,107.67 = 7,380.47/x
  3. Step 3: Cross multiply
    13,122.16x = 18,107.67 × 7,380.47
  4. Step 4: Simplify right side
    13,122.16x = 133,643,160.47
  5. Step 5: Solve for x
    x = 133,643,160.47/13,122.16
  6. Step 6: Final answer
    x = 10,184.54

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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.