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Finding the Fourth Proportional to 10,834.40, 16,219.92 and 9,796.80

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Solution

The fourth proportional to 10,834.40, 16,219.92 and 9,796.80 is: 14,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.40 : 16,219.92 = 9,796.80 : x
  2. Step 2: Convert to fraction form
    10,834.40/16,219.92 = 9,796.80/x
  3. Step 3: Cross multiply
    10,834.40x = 16,219.92 × 9,796.80
  4. Step 4: Simplify right side
    10,834.40x = 158,903,312.26
  5. Step 5: Solve for x
    x = 158,903,312.26/10,834.40
  6. Step 6: Final answer
    x = 14,666.55

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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.