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Finding the Fourth Proportional to 30,145.80, 41,599.62 and 16,716

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Solution

The fourth proportional to 30,145.80, 41,599.62 and 16,716 is: 23,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,145.80 : 41,599.62 = 16,716 : x
  2. Step 2: Convert to fraction form
    30,145.80/41,599.62 = 16,716/x
  3. Step 3: Cross multiply
    30,145.80x = 41,599.62 × 16,716
  4. Step 4: Simplify right side
    30,145.80x = 695,379,247.92
  5. Step 5: Solve for x
    x = 695,379,247.92/30,145.80
  6. Step 6: Final answer
    x = 23,067.20

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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.