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Finding the Fourth Proportional to 16,194.96, 24,292.43 and 9,264.60

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Solution

The fourth proportional to 16,194.96, 24,292.43 and 9,264.60 is: 13,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.96 : 24,292.43 = 9,264.60 : x
  2. Step 2: Convert to fraction form
    16,194.96/24,292.43 = 9,264.60/x
  3. Step 3: Cross multiply
    16,194.96x = 24,292.43 × 9,264.60
  4. Step 4: Simplify right side
    16,194.96x = 225,059,525.52
  5. Step 5: Solve for x
    x = 225,059,525.52/16,194.96
  6. Step 6: Final answer
    x = 13,896.89

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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.