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Finding the Fourth Proportional to 10,820.87, 16,199.67 and 9,783.26

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Solution

The fourth proportional to 10,820.87, 16,199.67 and 9,783.26 is: 14,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.87 : 16,199.67 = 9,783.26 : x
  2. Step 2: Convert to fraction form
    10,820.87/16,199.67 = 9,783.26/x
  3. Step 3: Cross multiply
    10,820.87x = 16,199.67 × 9,783.26
  4. Step 4: Simplify right side
    10,820.87x = 158,485,583.52
  5. Step 5: Solve for x
    x = 158,485,583.52/10,820.87
  6. Step 6: Final answer
    x = 14,646.29

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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.