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Finding the Fourth Proportional to 11,576.34, 17,387.59 and 10,923.56

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Solution

The fourth proportional to 11,576.34, 17,387.59 and 10,923.56 is: 16,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.34 : 17,387.59 = 10,923.56 : x
  2. Step 2: Convert to fraction form
    11,576.34/17,387.59 = 10,923.56/x
  3. Step 3: Cross multiply
    11,576.34x = 17,387.59 × 10,923.56
  4. Step 4: Simplify right side
    11,576.34x = 189,934,268.37
  5. Step 5: Solve for x
    x = 189,934,268.37/11,576.34
  6. Step 6: Final answer
    x = 16,407.11

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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.