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Finding the Fourth Proportional to 11,990.67, 16,532.42 and 9,858.75

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Solution

The fourth proportional to 11,990.67, 16,532.42 and 9,858.75 is: 13,592.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,990.67 : 16,532.42 = 9,858.75 : x
  2. Step 2: Convert to fraction form
    11,990.67/16,532.42 = 9,858.75/x
  3. Step 3: Cross multiply
    11,990.67x = 16,532.42 × 9,858.75
  4. Step 4: Simplify right side
    11,990.67x = 162,988,946.38
  5. Step 5: Solve for x
    x = 162,988,946.38/11,990.67
  6. Step 6: Final answer
    x = 13,592.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.