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Finding the Fourth Proportional to 21,408.60, 32,039.28 and 13,507.44

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Solution

The fourth proportional to 21,408.60, 32,039.28 and 13,507.44 is: 20,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.60 : 32,039.28 = 13,507.44 : x
  2. Step 2: Convert to fraction form
    21,408.60/32,039.28 = 13,507.44/x
  3. Step 3: Cross multiply
    21,408.60x = 32,039.28 × 13,507.44
  4. Step 4: Simplify right side
    21,408.60x = 432,768,652.24
  5. Step 5: Solve for x
    x = 432,768,652.24/21,408.60
  6. Step 6: Final answer
    x = 20,214.71

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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.