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Finding the Fourth Proportional to 15,342.63, 23,019.89 and 5,983.49

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Solution

The fourth proportional to 15,342.63, 23,019.89 and 5,983.49 is: 8,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.63 : 23,019.89 = 5,983.49 : x
  2. Step 2: Convert to fraction form
    15,342.63/23,019.89 = 5,983.49/x
  3. Step 3: Cross multiply
    15,342.63x = 23,019.89 × 5,983.49
  4. Step 4: Simplify right side
    15,342.63x = 137,739,136.60
  5. Step 5: Solve for x
    x = 137,739,136.60/15,342.63
  6. Step 6: Final answer
    x = 8,977.54

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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.