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Finding the Fourth Proportional to 15,530.80, 23,296.20 and 11,189.20

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Solution

The fourth proportional to 15,530.80, 23,296.20 and 11,189.20 is: 16,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.80 : 23,296.20 = 11,189.20 : x
  2. Step 2: Convert to fraction form
    15,530.80/23,296.20 = 11,189.20/x
  3. Step 3: Cross multiply
    15,530.80x = 23,296.20 × 11,189.20
  4. Step 4: Simplify right side
    15,530.80x = 260,665,841.04
  5. Step 5: Solve for x
    x = 260,665,841.04/15,530.80
  6. Step 6: Final answer
    x = 16,783.80

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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.