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Finding the Fourth Proportional to 17,189.28, 25,766.28 and 9,777.96

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Solution

The fourth proportional to 17,189.28, 25,766.28 and 9,777.96 is: 14,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.28 : 25,766.28 = 9,777.96 : x
  2. Step 2: Convert to fraction form
    17,189.28/25,766.28 = 9,777.96/x
  3. Step 3: Cross multiply
    17,189.28x = 25,766.28 × 9,777.96
  4. Step 4: Simplify right side
    17,189.28x = 251,941,655.19
  5. Step 5: Solve for x
    x = 251,941,655.19/17,189.28
  6. Step 6: Final answer
    x = 14,656.91

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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.