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Finding the Fourth Proportional to 11,655.24, 17,468.26 and 9,180.28

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Solution

The fourth proportional to 11,655.24, 17,468.26 and 9,180.28 is: 13,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.24 : 17,468.26 = 9,180.28 : x
  2. Step 2: Convert to fraction form
    11,655.24/17,468.26 = 9,180.28/x
  3. Step 3: Cross multiply
    11,655.24x = 17,468.26 × 9,180.28
  4. Step 4: Simplify right side
    11,655.24x = 160,363,517.91
  5. Step 5: Solve for x
    x = 160,363,517.91/11,655.24
  6. Step 6: Final answer
    x = 13,758.92

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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.