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Finding the Fourth Proportional to 11,465.12, 17,197.68 and 9,171.20

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Solution

The fourth proportional to 11,465.12, 17,197.68 and 9,171.20 is: 13,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.12 : 17,197.68 = 9,171.20 : x
  2. Step 2: Convert to fraction form
    11,465.12/17,197.68 = 9,171.20/x
  3. Step 3: Cross multiply
    11,465.12x = 17,197.68 × 9,171.20
  4. Step 4: Simplify right side
    11,465.12x = 157,723,362.82
  5. Step 5: Solve for x
    x = 157,723,362.82/11,465.12
  6. Step 6: Final answer
    x = 13,756.80

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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.