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Finding the Fourth Proportional to 16,238.16, 24,354 and 4,551.48

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Solution

The fourth proportional to 16,238.16, 24,354 and 4,551.48 is: 6,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.16 : 24,354 = 4,551.48 : x
  2. Step 2: Convert to fraction form
    16,238.16/24,354 = 4,551.48/x
  3. Step 3: Cross multiply
    16,238.16x = 24,354 × 4,551.48
  4. Step 4: Simplify right side
    16,238.16x = 110,846,743.92
  5. Step 5: Solve for x
    x = 110,846,743.92/16,238.16
  6. Step 6: Final answer
    x = 6,826.31

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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.