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Finding the Fourth Proportional to 16,069.80, 24,103.80 and 4,976.40

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Solution

The fourth proportional to 16,069.80, 24,103.80 and 4,976.40 is: 7,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.80 : 24,103.80 = 4,976.40 : x
  2. Step 2: Convert to fraction form
    16,069.80/24,103.80 = 4,976.40/x
  3. Step 3: Cross multiply
    16,069.80x = 24,103.80 × 4,976.40
  4. Step 4: Simplify right side
    16,069.80x = 119,950,150.32
  5. Step 5: Solve for x
    x = 119,950,150.32/16,069.80
  6. Step 6: Final answer
    x = 7,464.32

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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.