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Finding the Fourth Proportional to 17,961.39, 24,786.75 and 10,409.16

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Solution

The fourth proportional to 17,961.39, 24,786.75 and 10,409.16 is: 14,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,961.39 : 24,786.75 = 10,409.16 : x
  2. Step 2: Convert to fraction form
    17,961.39/24,786.75 = 10,409.16/x
  3. Step 3: Cross multiply
    17,961.39x = 24,786.75 × 10,409.16
  4. Step 4: Simplify right side
    17,961.39x = 258,009,246.63
  5. Step 5: Solve for x
    x = 258,009,246.63/17,961.39
  6. Step 6: Final answer
    x = 14,364.66

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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.