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Finding the Fourth Proportional to 13,148.88, 18,164.64 and 11,377.40

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Solution

The fourth proportional to 13,148.88, 18,164.64 and 11,377.40 is: 15,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.88 : 18,164.64 = 11,377.40 : x
  2. Step 2: Convert to fraction form
    13,148.88/18,164.64 = 11,377.40/x
  3. Step 3: Cross multiply
    13,148.88x = 18,164.64 × 11,377.40
  4. Step 4: Simplify right side
    13,148.88x = 206,666,375.14
  5. Step 5: Solve for x
    x = 206,666,375.14/13,148.88
  6. Step 6: Final answer
    x = 15,717.41

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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.