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Finding the Fourth Proportional to 16,431.84, 24,651 and 4,745.16

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Solution

The fourth proportional to 16,431.84, 24,651 and 4,745.16 is: 7,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.84 : 24,651 = 4,745.16 : x
  2. Step 2: Convert to fraction form
    16,431.84/24,651 = 4,745.16/x
  3. Step 3: Cross multiply
    16,431.84x = 24,651 × 4,745.16
  4. Step 4: Simplify right side
    16,431.84x = 116,972,939.16
  5. Step 5: Solve for x
    x = 116,972,939.16/16,431.84
  6. Step 6: Final answer
    x = 7,118.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.