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Finding the Fourth Proportional to 10,871.70, 16,380.63 and 9,832.86

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Solution

The fourth proportional to 10,871.70, 16,380.63 and 9,832.86 is: 14,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.70 : 16,380.63 = 9,832.86 : x
  2. Step 2: Convert to fraction form
    10,871.70/16,380.63 = 9,832.86/x
  3. Step 3: Cross multiply
    10,871.70x = 16,380.63 × 9,832.86
  4. Step 4: Simplify right side
    10,871.70x = 161,068,441.50
  5. Step 5: Solve for x
    x = 161,068,441.50/10,871.70
  6. Step 6: Final answer
    x = 14,815.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.