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Finding the Fourth Proportional to 13,851.68, 19,114.58 and 7,883.90

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Solution

The fourth proportional to 13,851.68, 19,114.58 and 7,883.90 is: 10,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.68 : 19,114.58 = 7,883.90 : x
  2. Step 2: Convert to fraction form
    13,851.68/19,114.58 = 7,883.90/x
  3. Step 3: Cross multiply
    13,851.68x = 19,114.58 × 7,883.90
  4. Step 4: Simplify right side
    13,851.68x = 150,697,302.27
  5. Step 5: Solve for x
    x = 150,697,302.27/13,851.68
  6. Step 6: Final answer
    x = 10,879.36

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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.