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Finding the Fourth Proportional to 16,431.48, 24,648.48 and 4,744.80

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Solution

The fourth proportional to 16,431.48, 24,648.48 and 4,744.80 is: 7,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.48 : 24,648.48 = 4,744.80 : x
  2. Step 2: Convert to fraction form
    16,431.48/24,648.48 = 4,744.80/x
  3. Step 3: Cross multiply
    16,431.48x = 24,648.48 × 4,744.80
  4. Step 4: Simplify right side
    16,431.48x = 116,952,107.90
  5. Step 5: Solve for x
    x = 116,952,107.90/16,431.48
  6. Step 6: Final answer
    x = 7,117.56

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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.