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Finding the Fourth Proportional to 11,209.80, 16,814.70 and 9,460.20

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Solution

The fourth proportional to 11,209.80, 16,814.70 and 9,460.20 is: 14,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.80 : 16,814.70 = 9,460.20 : x
  2. Step 2: Convert to fraction form
    11,209.80/16,814.70 = 9,460.20/x
  3. Step 3: Cross multiply
    11,209.80x = 16,814.70 × 9,460.20
  4. Step 4: Simplify right side
    11,209.80x = 159,070,424.94
  5. Step 5: Solve for x
    x = 159,070,424.94/11,209.80
  6. Step 6: Final answer
    x = 14,190.30

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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.