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Finding the Fourth Proportional to 23,638.82, 35,421.29 and 13,649.70

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Solution

The fourth proportional to 23,638.82, 35,421.29 and 13,649.70 is: 20,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.82 : 35,421.29 = 13,649.70 : x
  2. Step 2: Convert to fraction form
    23,638.82/35,421.29 = 13,649.70/x
  3. Step 3: Cross multiply
    23,638.82x = 35,421.29 × 13,649.70
  4. Step 4: Simplify right side
    23,638.82x = 483,489,913.86
  5. Step 5: Solve for x
    x = 483,489,913.86/23,638.82
  6. Step 6: Final answer
    x = 20,453.22

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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.