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Finding the Fourth Proportional to 11,962.76, 17,900.25 and 9,983.50

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Solution

The fourth proportional to 11,962.76, 17,900.25 and 9,983.50 is: 14,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.76 : 17,900.25 = 9,983.50 : x
  2. Step 2: Convert to fraction form
    11,962.76/17,900.25 = 9,983.50/x
  3. Step 3: Cross multiply
    11,962.76x = 17,900.25 × 9,983.50
  4. Step 4: Simplify right side
    11,962.76x = 178,707,006.46
  5. Step 5: Solve for x
    x = 178,707,006.46/11,962.76
  6. Step 6: Final answer
    x = 14,938.62

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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.