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Finding the Fourth Proportional to 11,546.32, 17,334.36 and 9,913.36

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Solution

The fourth proportional to 11,546.32, 17,334.36 and 9,913.36 is: 14,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.32 : 17,334.36 = 9,913.36 : x
  2. Step 2: Convert to fraction form
    11,546.32/17,334.36 = 9,913.36/x
  3. Step 3: Cross multiply
    11,546.32x = 17,334.36 × 9,913.36
  4. Step 4: Simplify right side
    11,546.32x = 171,841,751.05
  5. Step 5: Solve for x
    x = 171,841,751.05/11,546.32
  6. Step 6: Final answer
    x = 14,882.82

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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.