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Finding the Fourth Proportional to 10,991.89, 16,456.74 and 9,953.83

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Solution

The fourth proportional to 10,991.89, 16,456.74 and 9,953.83 is: 14,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.89 : 16,456.74 = 9,953.83 : x
  2. Step 2: Convert to fraction form
    10,991.89/16,456.74 = 9,953.83/x
  3. Step 3: Cross multiply
    10,991.89x = 16,456.74 × 9,953.83
  4. Step 4: Simplify right side
    10,991.89x = 163,807,592.31
  5. Step 5: Solve for x
    x = 163,807,592.31/10,991.89
  6. Step 6: Final answer
    x = 14,902.59

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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.