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Finding the Fourth Proportional to 14,947.20, 20,620.80 and 8,657.28

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Solution

The fourth proportional to 14,947.20, 20,620.80 and 8,657.28 is: 11,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947.20 : 20,620.80 = 8,657.28 : x
  2. Step 2: Convert to fraction form
    14,947.20/20,620.80 = 8,657.28/x
  3. Step 3: Cross multiply
    14,947.20x = 20,620.80 × 8,657.28
  4. Step 4: Simplify right side
    14,947.20x = 178,520,039.42
  5. Step 5: Solve for x
    x = 178,520,039.42/14,947.20
  6. Step 6: Final answer
    x = 11,943.38

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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.