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Finding the Fourth Proportional to 17,504.12, 24,155.69 and 9,546.32

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Solution

The fourth proportional to 17,504.12, 24,155.69 and 9,546.32 is: 13,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,504.12 : 24,155.69 = 9,546.32 : x
  2. Step 2: Convert to fraction form
    17,504.12/24,155.69 = 9,546.32/x
  3. Step 3: Cross multiply
    17,504.12x = 24,155.69 × 9,546.32
  4. Step 4: Simplify right side
    17,504.12x = 230,597,959.22
  5. Step 5: Solve for x
    x = 230,597,959.22/17,504.12
  6. Step 6: Final answer
    x = 13,173.92

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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.