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Finding the Fourth Proportional to 16,083.16, 24,124 and 4,396.36

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Solution

The fourth proportional to 16,083.16, 24,124 and 4,396.36 is: 6,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.16 : 24,124 = 4,396.36 : x
  2. Step 2: Convert to fraction form
    16,083.16/24,124 = 4,396.36/x
  3. Step 3: Cross multiply
    16,083.16x = 24,124 × 4,396.36
  4. Step 4: Simplify right side
    16,083.16x = 106,057,788.64
  5. Step 5: Solve for x
    x = 106,057,788.64/16,083.16
  6. Step 6: Final answer
    x = 6,594.34

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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.