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Finding the Fourth Proportional to 23,682.74, 35,546.00 and 12,004.16

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Solution

The fourth proportional to 23,682.74, 35,546.00 and 12,004.16 is: 18,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.74 : 35,546.00 = 12,004.16 : x
  2. Step 2: Convert to fraction form
    23,682.74/35,546.00 = 12,004.16/x
  3. Step 3: Cross multiply
    23,682.74x = 35,546.00 × 12,004.16
  4. Step 4: Simplify right side
    23,682.74x = 426,699,633.61
  5. Step 5: Solve for x
    x = 426,699,633.61/23,682.74
  6. Step 6: Final answer
    x = 18,017.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.