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Finding the Fourth Proportional to 30,193.16, 41,666.81 and 16,765.65

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Solution

The fourth proportional to 30,193.16, 41,666.81 and 16,765.65 is: 23,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,193.16 : 41,666.81 = 16,765.65 : x
  2. Step 2: Convert to fraction form
    30,193.16/41,666.81 = 16,765.65/x
  3. Step 3: Cross multiply
    30,193.16x = 41,666.81 × 16,765.65
  4. Step 4: Simplify right side
    30,193.16x = 698,571,069.25
  5. Step 5: Solve for x
    x = 698,571,069.25/30,193.16
  6. Step 6: Final answer
    x = 23,136.74

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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.