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Finding the Fourth Proportional to 12,679.98, 17,492.55 and 8,205.18

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Solution

The fourth proportional to 12,679.98, 17,492.55 and 8,205.18 is: 11,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.98 : 17,492.55 = 8,205.18 : x
  2. Step 2: Convert to fraction form
    12,679.98/17,492.55 = 8,205.18/x
  3. Step 3: Cross multiply
    12,679.98x = 17,492.55 × 8,205.18
  4. Step 4: Simplify right side
    12,679.98x = 143,529,521.41
  5. Step 5: Solve for x
    x = 143,529,521.41/12,679.98
  6. Step 6: Final answer
    x = 11,319.38

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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.