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Finding the Fourth Proportional to 30,205.66, 41,683.70 and 16,776.58

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Solution

The fourth proportional to 30,205.66, 41,683.70 and 16,776.58 is: 23,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.66 : 41,683.70 = 16,776.58 : x
  2. Step 2: Convert to fraction form
    30,205.66/41,683.70 = 16,776.58/x
  3. Step 3: Cross multiply
    30,205.66x = 41,683.70 × 16,776.58
  4. Step 4: Simplify right side
    30,205.66x = 699,309,927.75
  5. Step 5: Solve for x
    x = 699,309,927.75/30,205.66
  6. Step 6: Final answer
    x = 23,151.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.