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Finding the Fourth Proportional to 16,577.60, 24,847.20 and 6,710.40

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Solution

The fourth proportional to 16,577.60, 24,847.20 and 6,710.40 is: 10,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.60 : 24,847.20 = 6,710.40 : x
  2. Step 2: Convert to fraction form
    16,577.60/24,847.20 = 6,710.40/x
  3. Step 3: Cross multiply
    16,577.60x = 24,847.20 × 6,710.40
  4. Step 4: Simplify right side
    16,577.60x = 166,734,650.88
  5. Step 5: Solve for x
    x = 166,734,650.88/16,577.60
  6. Step 6: Final answer
    x = 10,057.83

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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.