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Finding the Fourth Proportional to 16,483.74, 24,729.71 and 4,796.96

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Solution

The fourth proportional to 16,483.74, 24,729.71 and 4,796.96 is: 7,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.74 : 24,729.71 = 4,796.96 : x
  2. Step 2: Convert to fraction form
    16,483.74/24,729.71 = 4,796.96/x
  3. Step 3: Cross multiply
    16,483.74x = 24,729.71 × 4,796.96
  4. Step 4: Simplify right side
    16,483.74x = 118,627,282.05
  5. Step 5: Solve for x
    x = 118,627,282.05/16,483.74
  6. Step 6: Final answer
    x = 7,196.62

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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.