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Finding the Fourth Proportional to 14,928.94, 20,579.85 and 9,550.80

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Solution

The fourth proportional to 14,928.94, 20,579.85 and 9,550.80 is: 13,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,928.94 : 20,579.85 = 9,550.80 : x
  2. Step 2: Convert to fraction form
    14,928.94/20,579.85 = 9,550.80/x
  3. Step 3: Cross multiply
    14,928.94x = 20,579.85 × 9,550.80
  4. Step 4: Simplify right side
    14,928.94x = 196,554,031.38
  5. Step 5: Solve for x
    x = 196,554,031.38/14,928.94
  6. Step 6: Final answer
    x = 13,165.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.