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Finding the Fourth Proportional to 13,649.35, 18,836.29 and 7,987.41

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Solution

The fourth proportional to 13,649.35, 18,836.29 and 7,987.41 is: 11,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.35 : 18,836.29 = 7,987.41 : x
  2. Step 2: Convert to fraction form
    13,649.35/18,836.29 = 7,987.41/x
  3. Step 3: Cross multiply
    13,649.35x = 18,836.29 × 7,987.41
  4. Step 4: Simplify right side
    13,649.35x = 150,453,271.79
  5. Step 5: Solve for x
    x = 150,453,271.79/13,649.35
  6. Step 6: Final answer
    x = 11,022.74

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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.