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Finding the Fourth Proportional to 14,789.92, 20,410.10 and 8,075.64

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Solution

The fourth proportional to 14,789.92, 20,410.10 and 8,075.64 is: 11,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789.92 : 20,410.10 = 8,075.64 : x
  2. Step 2: Convert to fraction form
    14,789.92/20,410.10 = 8,075.64/x
  3. Step 3: Cross multiply
    14,789.92x = 20,410.10 × 8,075.64
  4. Step 4: Simplify right side
    14,789.92x = 164,824,619.96
  5. Step 5: Solve for x
    x = 164,824,619.96/14,789.92
  6. Step 6: Final answer
    x = 11,144.39

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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.