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Finding the Fourth Proportional to 14,083.68, 19,435.74 and 8,114.34

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Solution

The fourth proportional to 14,083.68, 19,435.74 and 8,114.34 is: 11,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.68 : 19,435.74 = 8,114.34 : x
  2. Step 2: Convert to fraction form
    14,083.68/19,435.74 = 8,114.34/x
  3. Step 3: Cross multiply
    14,083.68x = 19,435.74 × 8,114.34
  4. Step 4: Simplify right side
    14,083.68x = 157,708,202.51
  5. Step 5: Solve for x
    x = 157,708,202.51/14,083.68
  6. Step 6: Final answer
    x = 11,197.94

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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.