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Finding the Fourth Proportional to 34,157.35, 51,239.08 and 9,196.84

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Solution

The fourth proportional to 34,157.35, 51,239.08 and 9,196.84 is: 13,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,157.35 : 51,239.08 = 9,196.84 : x
  2. Step 2: Convert to fraction form
    34,157.35/51,239.08 = 9,196.84/x
  3. Step 3: Cross multiply
    34,157.35x = 51,239.08 × 9,196.84
  4. Step 4: Simplify right side
    34,157.35x = 471,237,696.05
  5. Step 5: Solve for x
    x = 471,237,696.05/34,157.35
  6. Step 6: Final answer
    x = 13,796.09

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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.