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Finding the Fourth Proportional to 16,516.20, 24,774.31 and 4,829.42

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Solution

The fourth proportional to 16,516.20, 24,774.31 and 4,829.42 is: 7,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.20 : 24,774.31 = 4,829.42 : x
  2. Step 2: Convert to fraction form
    16,516.20/24,774.31 = 4,829.42/x
  3. Step 3: Cross multiply
    16,516.20x = 24,774.31 × 4,829.42
  4. Step 4: Simplify right side
    16,516.20x = 119,645,589.01
  5. Step 5: Solve for x
    x = 119,645,589.01/16,516.20
  6. Step 6: Final answer
    x = 7,244.13

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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.