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Finding the Fourth Proportional to 15,596.83, 23,394.50 and 5,735.42

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Solution

The fourth proportional to 15,596.83, 23,394.50 and 5,735.42 is: 8,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,596.83 : 23,394.50 = 5,735.42 : x
  2. Step 2: Convert to fraction form
    15,596.83/23,394.50 = 5,735.42/x
  3. Step 3: Cross multiply
    15,596.83x = 23,394.50 × 5,735.42
  4. Step 4: Simplify right side
    15,596.83x = 134,177,283.19
  5. Step 5: Solve for x
    x = 134,177,283.19/15,596.83
  6. Step 6: Final answer
    x = 8,602.86

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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.