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Finding the Fourth Proportional to 13,647.28, 18,827.04 and 8,341

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Solution

The fourth proportional to 13,647.28, 18,827.04 and 8,341 is: 11,506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.28 : 18,827.04 = 8,341 : x
  2. Step 2: Convert to fraction form
    13,647.28/18,827.04 = 8,341/x
  3. Step 3: Cross multiply
    13,647.28x = 18,827.04 × 8,341
  4. Step 4: Simplify right side
    13,647.28x = 157,036,340.64
  5. Step 5: Solve for x
    x = 157,036,340.64/13,647.28
  6. Step 6: Final answer
    x = 11,506.79

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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.