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Finding the Fourth Proportional to 16,505.20, 24,761.64 and 5,411.20

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Solution

The fourth proportional to 16,505.20, 24,761.64 and 5,411.20 is: 8,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.20 : 24,761.64 = 5,411.20 : x
  2. Step 2: Convert to fraction form
    16,505.20/24,761.64 = 5,411.20/x
  3. Step 3: Cross multiply
    16,505.20x = 24,761.64 × 5,411.20
  4. Step 4: Simplify right side
    16,505.20x = 133,990,186.37
  5. Step 5: Solve for x
    x = 133,990,186.37/16,505.20
  6. Step 6: Final answer
    x = 8,118.06

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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.