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Finding the Fourth Proportional to 16,596.45, 24,894 and 4,116.51

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Solution

The fourth proportional to 16,596.45, 24,894 and 4,116.51 is: 6,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596.45 : 24,894 = 4,116.51 : x
  2. Step 2: Convert to fraction form
    16,596.45/24,894 = 4,116.51/x
  3. Step 3: Cross multiply
    16,596.45x = 24,894 × 4,116.51
  4. Step 4: Simplify right side
    16,596.45x = 102,476,399.94
  5. Step 5: Solve for x
    x = 102,476,399.94/16,596.45
  6. Step 6: Final answer
    x = 6,174.60

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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.