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Finding the Fourth Proportional to 12,706.24, 17,519.36 and 10,934.80

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Solution

The fourth proportional to 12,706.24, 17,519.36 and 10,934.80 is: 15,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.24 : 17,519.36 = 10,934.80 : x
  2. Step 2: Convert to fraction form
    12,706.24/17,519.36 = 10,934.80/x
  3. Step 3: Cross multiply
    12,706.24x = 17,519.36 × 10,934.80
  4. Step 4: Simplify right side
    12,706.24x = 191,570,697.73
  5. Step 5: Solve for x
    x = 191,570,697.73/12,706.24
  6. Step 6: Final answer
    x = 15,076.90

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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.