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Finding the Fourth Proportional to 11,684.41, 17,437.18 and 10,437.82

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Solution

The fourth proportional to 11,684.41, 17,437.18 and 10,437.82 is: 15,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.41 : 17,437.18 = 10,437.82 : x
  2. Step 2: Convert to fraction form
    11,684.41/17,437.18 = 10,437.82/x
  3. Step 3: Cross multiply
    11,684.41x = 17,437.18 × 10,437.82
  4. Step 4: Simplify right side
    11,684.41x = 182,006,076.46
  5. Step 5: Solve for x
    x = 182,006,076.46/11,684.41
  6. Step 6: Final answer
    x = 15,576.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.