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Finding the Fourth Proportional to 13,616.70, 18,784.37 and 8,302.29

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Solution

The fourth proportional to 13,616.70, 18,784.37 and 8,302.29 is: 11,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.70 : 18,784.37 = 8,302.29 : x
  2. Step 2: Convert to fraction form
    13,616.70/18,784.37 = 8,302.29/x
  3. Step 3: Cross multiply
    13,616.70x = 18,784.37 × 8,302.29
  4. Step 4: Simplify right side
    13,616.70x = 155,953,287.21
  5. Step 5: Solve for x
    x = 155,953,287.21/13,616.70
  6. Step 6: Final answer
    x = 11,453.09

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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.