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Finding the Fourth Proportional to 15,978.75, 23,972.03 and 5,034.75

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Solution

The fourth proportional to 15,978.75, 23,972.03 and 5,034.75 is: 7,553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.75 : 23,972.03 = 5,034.75 : x
  2. Step 2: Convert to fraction form
    15,978.75/23,972.03 = 5,034.75/x
  3. Step 3: Cross multiply
    15,978.75x = 23,972.03 × 5,034.75
  4. Step 4: Simplify right side
    15,978.75x = 120,693,152.87
  5. Step 5: Solve for x
    x = 120,693,152.87/15,978.75
  6. Step 6: Final answer
    x = 7,553.35

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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.