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Finding the Fourth Proportional to 17,012.76, 23,478.09 and 10,299.60

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Solution

The fourth proportional to 17,012.76, 23,478.09 and 10,299.60 is: 14,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,012.76 : 23,478.09 = 10,299.60 : x
  2. Step 2: Convert to fraction form
    17,012.76/23,478.09 = 10,299.60/x
  3. Step 3: Cross multiply
    17,012.76x = 23,478.09 × 10,299.60
  4. Step 4: Simplify right side
    17,012.76x = 241,814,935.76
  5. Step 5: Solve for x
    x = 241,814,935.76/17,012.76
  6. Step 6: Final answer
    x = 14,213.74

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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.