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Finding the Fourth Proportional to 16,494.21, 24,741.32 and 13,563.63

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Solution

The fourth proportional to 16,494.21, 24,741.32 and 13,563.63 is: 20,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.21 : 24,741.32 = 13,563.63 : x
  2. Step 2: Convert to fraction form
    16,494.21/24,741.32 = 13,563.63/x
  3. Step 3: Cross multiply
    16,494.21x = 24,741.32 × 13,563.63
  4. Step 4: Simplify right side
    16,494.21x = 335,582,042.37
  5. Step 5: Solve for x
    x = 335,582,042.37/16,494.21
  6. Step 6: Final answer
    x = 20,345.45

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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.