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Finding the Fourth Proportional to 43,186.42, 64,774.83 and 11,599.14

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Solution

The fourth proportional to 43,186.42, 64,774.83 and 11,599.14 is: 17,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,186.42 : 64,774.83 = 11,599.14 : x
  2. Step 2: Convert to fraction form
    43,186.42/64,774.83 = 11,599.14/x
  3. Step 3: Cross multiply
    43,186.42x = 64,774.83 × 11,599.14
  4. Step 4: Simplify right side
    43,186.42x = 751,332,321.65
  5. Step 5: Solve for x
    x = 751,332,321.65/43,186.42
  6. Step 6: Final answer
    x = 17,397.42

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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.