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Finding the Fourth Proportional to 16,447.64, 24,671.68 and 5,354.38

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Solution

The fourth proportional to 16,447.64, 24,671.68 and 5,354.38 is: 8,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.64 : 24,671.68 = 5,354.38 : x
  2. Step 2: Convert to fraction form
    16,447.64/24,671.68 = 5,354.38/x
  3. Step 3: Cross multiply
    16,447.64x = 24,671.68 × 5,354.38
  4. Step 4: Simplify right side
    16,447.64x = 132,101,474.89
  5. Step 5: Solve for x
    x = 132,101,474.89/16,447.64
  6. Step 6: Final answer
    x = 8,031.64

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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.