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Finding the Fourth Proportional to 12,536.98, 17,294.88 and 10,546.80

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Solution

The fourth proportional to 12,536.98, 17,294.88 and 10,546.80 is: 14,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.98 : 17,294.88 = 10,546.80 : x
  2. Step 2: Convert to fraction form
    12,536.98/17,294.88 = 10,546.80/x
  3. Step 3: Cross multiply
    12,536.98x = 17,294.88 × 10,546.80
  4. Step 4: Simplify right side
    12,536.98x = 182,405,640.38
  5. Step 5: Solve for x
    x = 182,405,640.38/12,536.98
  6. Step 6: Final answer
    x = 14,549.41

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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.