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Finding the Fourth Proportional to 15,893.68, 23,835.12 and 5,503

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Solution

The fourth proportional to 15,893.68, 23,835.12 and 5,503 is: 8,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.68 : 23,835.12 = 5,503 : x
  2. Step 2: Convert to fraction form
    15,893.68/23,835.12 = 5,503/x
  3. Step 3: Cross multiply
    15,893.68x = 23,835.12 × 5,503
  4. Step 4: Simplify right side
    15,893.68x = 131,164,665.36
  5. Step 5: Solve for x
    x = 131,164,665.36/15,893.68
  6. Step 6: Final answer
    x = 8,252.63

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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.