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Finding the Fourth Proportional to 16,364.20, 24,548.10 and 5,978.20

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Solution

The fourth proportional to 16,364.20, 24,548.10 and 5,978.20 is: 8,967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.20 : 24,548.10 = 5,978.20 : x
  2. Step 2: Convert to fraction form
    16,364.20/24,548.10 = 5,978.20/x
  3. Step 3: Cross multiply
    16,364.20x = 24,548.10 × 5,978.20
  4. Step 4: Simplify right side
    16,364.20x = 146,753,451.42
  5. Step 5: Solve for x
    x = 146,753,451.42/16,364.20
  6. Step 6: Final answer
    x = 8,967.96

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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.