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Finding the Fourth Proportional to 13,630.27, 18,809.85 and 7,661.77

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Solution

The fourth proportional to 13,630.27, 18,809.85 and 7,661.77 is: 10,573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.27 : 18,809.85 = 7,661.77 : x
  2. Step 2: Convert to fraction form
    13,630.27/18,809.85 = 7,661.77/x
  3. Step 3: Cross multiply
    13,630.27x = 18,809.85 × 7,661.77
  4. Step 4: Simplify right side
    13,630.27x = 144,116,744.43
  5. Step 5: Solve for x
    x = 144,116,744.43/13,630.27
  6. Step 6: Final answer
    x = 10,573.29

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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.