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Finding the Fourth Proportional to 13,649.40, 20,441.29 and 7,788.24

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Solution

The fourth proportional to 13,649.40, 20,441.29 and 7,788.24 is: 11,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.40 : 20,441.29 = 7,788.24 : x
  2. Step 2: Convert to fraction form
    13,649.40/20,441.29 = 7,788.24/x
  3. Step 3: Cross multiply
    13,649.40x = 20,441.29 × 7,788.24
  4. Step 4: Simplify right side
    13,649.40x = 159,201,672.43
  5. Step 5: Solve for x
    x = 159,201,672.43/13,649.40
  6. Step 6: Final answer
    x = 11,663.64

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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.