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Finding the Fourth Proportional to 16,000.84, 24,006.24 and 5,471.16

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Solution

The fourth proportional to 16,000.84, 24,006.24 and 5,471.16 is: 8,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.84 : 24,006.24 = 5,471.16 : x
  2. Step 2: Convert to fraction form
    16,000.84/24,006.24 = 5,471.16/x
  3. Step 3: Cross multiply
    16,000.84x = 24,006.24 × 5,471.16
  4. Step 4: Simplify right side
    16,000.84x = 131,341,980.04
  5. Step 5: Solve for x
    x = 131,341,980.04/16,000.84
  6. Step 6: Final answer
    x = 8,208.44

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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.