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Finding the Fourth Proportional to 16,004.84, 24,007.23 and 5,616.59

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Solution

The fourth proportional to 16,004.84, 24,007.23 and 5,616.59 is: 8,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.84 : 24,007.23 = 5,616.59 : x
  2. Step 2: Convert to fraction form
    16,004.84/24,007.23 = 5,616.59/x
  3. Step 3: Cross multiply
    16,004.84x = 24,007.23 × 5,616.59
  4. Step 4: Simplify right side
    16,004.84x = 134,838,647.91
  5. Step 5: Solve for x
    x = 134,838,647.91/16,004.84
  6. Step 6: Final answer
    x = 8,424.87

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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.