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Finding the Fourth Proportional to 11,605.76, 17,426.40 and 10,230.68

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Solution

The fourth proportional to 11,605.76, 17,426.40 and 10,230.68 is: 15,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.76 : 17,426.40 = 10,230.68 : x
  2. Step 2: Convert to fraction form
    11,605.76/17,426.40 = 10,230.68/x
  3. Step 3: Cross multiply
    11,605.76x = 17,426.40 × 10,230.68
  4. Step 4: Simplify right side
    11,605.76x = 178,283,783.67
  5. Step 5: Solve for x
    x = 178,283,783.67/11,605.76
  6. Step 6: Final answer
    x = 15,361.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.