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Finding the Fourth Proportional to 19,496.75, 29,250 and 11,186.15

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Solution

The fourth proportional to 19,496.75, 29,250 and 11,186.15 is: 16,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496.75 : 29,250 = 11,186.15 : x
  2. Step 2: Convert to fraction form
    19,496.75/29,250 = 11,186.15/x
  3. Step 3: Cross multiply
    19,496.75x = 29,250 × 11,186.15
  4. Step 4: Simplify right side
    19,496.75x = 327,194,741.25
  5. Step 5: Solve for x
    x = 327,194,741.25/19,496.75
  6. Step 6: Final answer
    x = 16,782.02

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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.