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Finding the Fourth Proportional to 15,584.29, 23,375.67 and 5,722.81

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Solution

The fourth proportional to 15,584.29, 23,375.67 and 5,722.81 is: 8,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.29 : 23,375.67 = 5,722.81 : x
  2. Step 2: Convert to fraction form
    15,584.29/23,375.67 = 5,722.81/x
  3. Step 3: Cross multiply
    15,584.29x = 23,375.67 × 5,722.81
  4. Step 4: Simplify right side
    15,584.29x = 133,774,518.03
  5. Step 5: Solve for x
    x = 133,774,518.03/15,584.29
  6. Step 6: Final answer
    x = 8,583.93

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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.