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Finding the Fourth Proportional to 14,513.41, 20,028.73 and 8,141.42

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Solution

The fourth proportional to 14,513.41, 20,028.73 and 8,141.42 is: 11,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.41 : 20,028.73 = 8,141.42 : x
  2. Step 2: Convert to fraction form
    14,513.41/20,028.73 = 8,141.42/x
  3. Step 3: Cross multiply
    14,513.41x = 20,028.73 × 8,141.42
  4. Step 4: Simplify right side
    14,513.41x = 163,062,303.00
  5. Step 5: Solve for x
    x = 163,062,303.00/14,513.41
  6. Step 6: Final answer
    x = 11,235.29

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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.