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Finding the Fourth Proportional to 16,449.68, 24,676.80 and 5,354.24

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Solution

The fourth proportional to 16,449.68, 24,676.80 and 5,354.24 is: 8,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.68 : 24,676.80 = 5,354.24 : x
  2. Step 2: Convert to fraction form
    16,449.68/24,676.80 = 5,354.24/x
  3. Step 3: Cross multiply
    16,449.68x = 24,676.80 × 5,354.24
  4. Step 4: Simplify right side
    16,449.68x = 132,125,509.63
  5. Step 5: Solve for x
    x = 132,125,509.63/16,449.68
  6. Step 6: Final answer
    x = 8,032.10

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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.