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Finding the Fourth Proportional to 15,958, 23,940.86 and 5,014

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Solution

The fourth proportional to 15,958, 23,940.86 and 5,014 is: 7,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,958 : 23,940.86 = 5,014 : x
  2. Step 2: Convert to fraction form
    15,958/23,940.86 = 5,014/x
  3. Step 3: Cross multiply
    15,958x = 23,940.86 × 5,014
  4. Step 4: Simplify right side
    15,958x = 120,039,472.04
  5. Step 5: Solve for x
    x = 120,039,472.04/15,958
  6. Step 6: Final answer
    x = 7,522.21

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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.