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Finding the Fourth Proportional to 12,462.80, 17,199.24 and 8,488.40

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Solution

The fourth proportional to 12,462.80, 17,199.24 and 8,488.40 is: 11,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.80 : 17,199.24 = 8,488.40 : x
  2. Step 2: Convert to fraction form
    12,462.80/17,199.24 = 8,488.40/x
  3. Step 3: Cross multiply
    12,462.80x = 17,199.24 × 8,488.40
  4. Step 4: Simplify right side
    12,462.80x = 145,994,028.82
  5. Step 5: Solve for x
    x = 145,994,028.82/12,462.80
  6. Step 6: Final answer
    x = 11,714.38

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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.