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Finding the Fourth Proportional to 10,835.40, 16,221.42 and 9,797.80

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Solution

The fourth proportional to 10,835.40, 16,221.42 and 9,797.80 is: 14,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.40 : 16,221.42 = 9,797.80 : x
  2. Step 2: Convert to fraction form
    10,835.40/16,221.42 = 9,797.80/x
  3. Step 3: Cross multiply
    10,835.40x = 16,221.42 × 9,797.80
  4. Step 4: Simplify right side
    10,835.40x = 158,934,228.88
  5. Step 5: Solve for x
    x = 158,934,228.88/10,835.40
  6. Step 6: Final answer
    x = 14,668.05

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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.