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Finding the Fourth Proportional to 22,405.75, 33,613.69 and 7,412.83

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Solution

The fourth proportional to 22,405.75, 33,613.69 and 7,412.83 is: 11,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.75 : 33,613.69 = 7,412.83 : x
  2. Step 2: Convert to fraction form
    22,405.75/33,613.69 = 7,412.83/x
  3. Step 3: Cross multiply
    22,405.75x = 33,613.69 × 7,412.83
  4. Step 4: Simplify right side
    22,405.75x = 249,172,727.75
  5. Step 5: Solve for x
    x = 249,172,727.75/22,405.75
  6. Step 6: Final answer
    x = 11,120.93

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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.