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Finding the Fourth Proportional to 16,519.50, 24,774.39 and 4,829.94

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Solution

The fourth proportional to 16,519.50, 24,774.39 and 4,829.94 is: 7,243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,519.50 : 24,774.39 = 4,829.94 : x
  2. Step 2: Convert to fraction form
    16,519.50/24,774.39 = 4,829.94/x
  3. Step 3: Cross multiply
    16,519.50x = 24,774.39 × 4,829.94
  4. Step 4: Simplify right side
    16,519.50x = 119,658,817.24
  5. Step 5: Solve for x
    x = 119,658,817.24/16,519.50
  6. Step 6: Final answer
    x = 7,243.49

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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.