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Finding the Fourth Proportional to 11,424.34, 17,141.41 and 6,153.22

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Solution

The fourth proportional to 11,424.34, 17,141.41 and 6,153.22 is: 9,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.34 : 17,141.41 = 6,153.22 : x
  2. Step 2: Convert to fraction form
    11,424.34/17,141.41 = 6,153.22/x
  3. Step 3: Cross multiply
    11,424.34x = 17,141.41 × 6,153.22
  4. Step 4: Simplify right side
    11,424.34x = 105,474,790.89
  5. Step 5: Solve for x
    x = 105,474,790.89/11,424.34
  6. Step 6: Final answer
    x = 9,232.46

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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.