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Finding the Fourth Proportional to 14,629.20, 20,186.64 and 8,965.50

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Solution

The fourth proportional to 14,629.20, 20,186.64 and 8,965.50 is: 12,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,629.20 : 20,186.64 = 8,965.50 : x
  2. Step 2: Convert to fraction form
    14,629.20/20,186.64 = 8,965.50/x
  3. Step 3: Cross multiply
    14,629.20x = 20,186.64 × 8,965.50
  4. Step 4: Simplify right side
    14,629.20x = 180,983,320.92
  5. Step 5: Solve for x
    x = 180,983,320.92/14,629.20
  6. Step 6: Final answer
    x = 12,371.38

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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.