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Finding the Fourth Proportional to 16,186.72, 24,274.92 and 6,323.60

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Solution

The fourth proportional to 16,186.72, 24,274.92 and 6,323.60 is: 9,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.72 : 24,274.92 = 6,323.60 : x
  2. Step 2: Convert to fraction form
    16,186.72/24,274.92 = 6,323.60/x
  3. Step 3: Cross multiply
    16,186.72x = 24,274.92 × 6,323.60
  4. Step 4: Simplify right side
    16,186.72x = 153,504,884.11
  5. Step 5: Solve for x
    x = 153,504,884.11/16,186.72
  6. Step 6: Final answer
    x = 9,483.38

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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.