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Finding the Fourth Proportional to 13,886.41, 20,820.36 and 7,649.38

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Solution

The fourth proportional to 13,886.41, 20,820.36 and 7,649.38 is: 11,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.41 : 20,820.36 = 7,649.38 : x
  2. Step 2: Convert to fraction form
    13,886.41/20,820.36 = 7,649.38/x
  3. Step 3: Cross multiply
    13,886.41x = 20,820.36 × 7,649.38
  4. Step 4: Simplify right side
    13,886.41x = 159,262,845.38
  5. Step 5: Solve for x
    x = 159,262,845.38/13,886.41
  6. Step 6: Final answer
    x = 11,468.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.