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Finding the Fourth Proportional to 15,409.67, 23,114.50 and 3,722.89

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Solution

The fourth proportional to 15,409.67, 23,114.50 and 3,722.89 is: 5,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.67 : 23,114.50 = 3,722.89 : x
  2. Step 2: Convert to fraction form
    15,409.67/23,114.50 = 3,722.89/x
  3. Step 3: Cross multiply
    15,409.67x = 23,114.50 × 3,722.89
  4. Step 4: Simplify right side
    15,409.67x = 86,052,740.91
  5. Step 5: Solve for x
    x = 86,052,740.91/15,409.67
  6. Step 6: Final answer
    x = 5,584.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.