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Finding the Fourth Proportional to 15,538.80, 23,308.20 and 11,197.20

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Solution

The fourth proportional to 15,538.80, 23,308.20 and 11,197.20 is: 16,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.80 : 23,308.20 = 11,197.20 : x
  2. Step 2: Convert to fraction form
    15,538.80/23,308.20 = 11,197.20/x
  3. Step 3: Cross multiply
    15,538.80x = 23,308.20 × 11,197.20
  4. Step 4: Simplify right side
    15,538.80x = 260,986,577.04
  5. Step 5: Solve for x
    x = 260,986,577.04/15,538.80
  6. Step 6: Final answer
    x = 16,795.80

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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.