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Finding the Fourth Proportional to 16,385.50, 24,578.22 and 4,698.72

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Solution

The fourth proportional to 16,385.50, 24,578.22 and 4,698.72 is: 7,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.50 : 24,578.22 = 4,698.72 : x
  2. Step 2: Convert to fraction form
    16,385.50/24,578.22 = 4,698.72/x
  3. Step 3: Cross multiply
    16,385.50x = 24,578.22 × 4,698.72
  4. Step 4: Simplify right side
    16,385.50x = 115,486,173.88
  5. Step 5: Solve for x
    x = 115,486,173.88/16,385.50
  6. Step 6: Final answer
    x = 7,048.07

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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.