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Finding the Fourth Proportional to 12,546.62, 17,299.20 and 10,842.08

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Solution

The fourth proportional to 12,546.62, 17,299.20 and 10,842.08 is: 14,948.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.62 : 17,299.20 = 10,842.08 : x
  2. Step 2: Convert to fraction form
    12,546.62/17,299.20 = 10,842.08/x
  3. Step 3: Cross multiply
    12,546.62x = 17,299.20 × 10,842.08
  4. Step 4: Simplify right side
    12,546.62x = 187,559,310.34
  5. Step 5: Solve for x
    x = 187,559,310.34/12,546.62
  6. Step 6: Final answer
    x = 14,948.99

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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.