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Finding the Fourth Proportional to 13,855.54, 19,128.41 and 9,148.09

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Solution

The fourth proportional to 13,855.54, 19,128.41 and 9,148.09 is: 12,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.54 : 19,128.41 = 9,148.09 : x
  2. Step 2: Convert to fraction form
    13,855.54/19,128.41 = 9,148.09/x
  3. Step 3: Cross multiply
    13,855.54x = 19,128.41 × 9,148.09
  4. Step 4: Simplify right side
    13,855.54x = 174,988,416.24
  5. Step 5: Solve for x
    x = 174,988,416.24/13,855.54
  6. Step 6: Final answer
    x = 12,629.49

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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.