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Finding the Fourth Proportional to 12,299.76, 16,953.84 and 8,319.42

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Solution

The fourth proportional to 12,299.76, 16,953.84 and 8,319.42 is: 11,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.76 : 16,953.84 = 8,319.42 : x
  2. Step 2: Convert to fraction form
    12,299.76/16,953.84 = 8,319.42/x
  3. Step 3: Cross multiply
    12,299.76x = 16,953.84 × 8,319.42
  4. Step 4: Simplify right side
    12,299.76x = 141,046,115.57
  5. Step 5: Solve for x
    x = 141,046,115.57/12,299.76
  6. Step 6: Final answer
    x = 11,467.39

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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.