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Finding the Fourth Proportional to 13,649.18, 18,835.82 and 7,680.86

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Solution

The fourth proportional to 13,649.18, 18,835.82 and 7,680.86 is: 10,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.18 : 18,835.82 = 7,680.86 : x
  2. Step 2: Convert to fraction form
    13,649.18/18,835.82 = 7,680.86/x
  3. Step 3: Cross multiply
    13,649.18x = 18,835.82 × 7,680.86
  4. Step 4: Simplify right side
    13,649.18x = 144,675,163.82
  5. Step 5: Solve for x
    x = 144,675,163.82/13,649.18
  6. Step 6: Final answer
    x = 10,599.55

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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.