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Finding the Fourth Proportional to 16,507.41, 24,756.12 and 5,976.15

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Solution

The fourth proportional to 16,507.41, 24,756.12 and 5,976.15 is: 8,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.41 : 24,756.12 = 5,976.15 : x
  2. Step 2: Convert to fraction form
    16,507.41/24,756.12 = 5,976.15/x
  3. Step 3: Cross multiply
    16,507.41x = 24,756.12 × 5,976.15
  4. Step 4: Simplify right side
    16,507.41x = 147,946,286.54
  5. Step 5: Solve for x
    x = 147,946,286.54/16,507.41
  6. Step 6: Final answer
    x = 8,962.42

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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.