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Finding the Fourth Proportional to 13,653.45, 18,840.96 and 7,684.86

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Solution

The fourth proportional to 13,653.45, 18,840.96 and 7,684.86 is: 10,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.45 : 18,840.96 = 7,684.86 : x
  2. Step 2: Convert to fraction form
    13,653.45/18,840.96 = 7,684.86/x
  3. Step 3: Cross multiply
    13,653.45x = 18,840.96 × 7,684.86
  4. Step 4: Simplify right side
    13,653.45x = 144,790,139.87
  5. Step 5: Solve for x
    x = 144,790,139.87/13,653.45
  6. Step 6: Final answer
    x = 10,604.66

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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.