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Finding the Fourth Proportional to 16,385.16, 24,577.83 and 4,073.16

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Solution

The fourth proportional to 16,385.16, 24,577.83 and 4,073.16 is: 6,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.16 : 24,577.83 = 4,073.16 : x
  2. Step 2: Convert to fraction form
    16,385.16/24,577.83 = 4,073.16/x
  3. Step 3: Cross multiply
    16,385.16x = 24,577.83 × 4,073.16
  4. Step 4: Simplify right side
    16,385.16x = 100,109,290.79
  5. Step 5: Solve for x
    x = 100,109,290.79/16,385.16
  6. Step 6: Final answer
    x = 6,109.76

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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.