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Finding the Fourth Proportional to 16,350, 24,525.23 and 4,663.22

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Solution

The fourth proportional to 16,350, 24,525.23 and 4,663.22 is: 6,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,350 : 24,525.23 = 4,663.22 : x
  2. Step 2: Convert to fraction form
    16,350/24,525.23 = 4,663.22/x
  3. Step 3: Cross multiply
    16,350x = 24,525.23 × 4,663.22
  4. Step 4: Simplify right side
    16,350x = 114,366,616.01
  5. Step 5: Solve for x
    x = 114,366,616.01/16,350
  6. Step 6: Final answer
    x = 6,994.90

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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.