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Finding the Fourth Proportional to 30,205.17, 41,683.13 and 16,777.67

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Solution

The fourth proportional to 30,205.17, 41,683.13 and 16,777.67 is: 23,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.17 : 41,683.13 = 16,777.67 : x
  2. Step 2: Convert to fraction form
    30,205.17/41,683.13 = 16,777.67/x
  3. Step 3: Cross multiply
    30,205.17x = 41,683.13 × 16,777.67
  4. Step 4: Simplify right side
    30,205.17x = 699,345,507.40
  5. Step 5: Solve for x
    x = 699,345,507.40/30,205.17
  6. Step 6: Final answer
    x = 23,153.17

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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.