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Finding the Fourth Proportional to 11,220.30, 16,830.45 and 9,835.20

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Solution

The fourth proportional to 11,220.30, 16,830.45 and 9,835.20 is: 14,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.30 : 16,830.45 = 9,835.20 : x
  2. Step 2: Convert to fraction form
    11,220.30/16,830.45 = 9,835.20/x
  3. Step 3: Cross multiply
    11,220.30x = 16,830.45 × 9,835.20
  4. Step 4: Simplify right side
    11,220.30x = 165,530,841.84
  5. Step 5: Solve for x
    x = 165,530,841.84/11,220.30
  6. Step 6: Final answer
    x = 14,752.80

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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.