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Finding the Fourth Proportional to 11,774.90, 16,255.69 and 9,080.24

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Solution

The fourth proportional to 11,774.90, 16,255.69 and 9,080.24 is: 12,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.90 : 16,255.69 = 9,080.24 : x
  2. Step 2: Convert to fraction form
    11,774.90/16,255.69 = 9,080.24/x
  3. Step 3: Cross multiply
    11,774.90x = 16,255.69 × 9,080.24
  4. Step 4: Simplify right side
    11,774.90x = 147,605,462.59
  5. Step 5: Solve for x
    x = 147,605,462.59/11,774.90
  6. Step 6: Final answer
    x = 12,535.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.