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Finding the Fourth Proportional to 12,209.98, 16,853.10 and 7,175.82

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Solution

The fourth proportional to 12,209.98, 16,853.10 and 7,175.82 is: 9,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.98 : 16,853.10 = 7,175.82 : x
  2. Step 2: Convert to fraction form
    12,209.98/16,853.10 = 7,175.82/x
  3. Step 3: Cross multiply
    12,209.98x = 16,853.10 × 7,175.82
  4. Step 4: Simplify right side
    12,209.98x = 120,934,848.33
  5. Step 5: Solve for x
    x = 120,934,848.33/12,209.98
  6. Step 6: Final answer
    x = 9,904.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.