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Finding the Fourth Proportional to 11,644.79, 17,433.50 and 10,442.93

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Solution

The fourth proportional to 11,644.79, 17,433.50 and 10,442.93 is: 15,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.79 : 17,433.50 = 10,442.93 : x
  2. Step 2: Convert to fraction form
    11,644.79/17,433.50 = 10,442.93/x
  3. Step 3: Cross multiply
    11,644.79x = 17,433.50 × 10,442.93
  4. Step 4: Simplify right side
    11,644.79x = 182,056,680.77
  5. Step 5: Solve for x
    x = 182,056,680.77/11,644.79
  6. Step 6: Final answer
    x = 15,634.18

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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.