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Finding the Fourth Proportional to 30,409.98, 41,965.69 and 16,981.24

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Solution

The fourth proportional to 30,409.98, 41,965.69 and 16,981.24 is: 23,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.98 : 41,965.69 = 16,981.24 : x
  2. Step 2: Convert to fraction form
    30,409.98/41,965.69 = 16,981.24/x
  3. Step 3: Cross multiply
    30,409.98x = 41,965.69 × 16,981.24
  4. Step 4: Simplify right side
    30,409.98x = 712,629,473.66
  5. Step 5: Solve for x
    x = 712,629,473.66/30,409.98
  6. Step 6: Final answer
    x = 23,434.07

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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.