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Finding the Fourth Proportional to 15,956, 23,937.84 and 5,012

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Solution

The fourth proportional to 15,956, 23,937.84 and 5,012 is: 7,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,956 : 23,937.84 = 5,012 : x
  2. Step 2: Convert to fraction form
    15,956/23,937.84 = 5,012/x
  3. Step 3: Cross multiply
    15,956x = 23,937.84 × 5,012
  4. Step 4: Simplify right side
    15,956x = 119,976,454.08
  5. Step 5: Solve for x
    x = 119,976,454.08/15,956
  6. Step 6: Final answer
    x = 7,519.21

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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.