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Finding the Fourth Proportional to 15,960, 23,943.86 and 5,016

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Solution

The fourth proportional to 15,960, 23,943.86 and 5,016 is: 7,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960 : 23,943.86 = 5,016 : x
  2. Step 2: Convert to fraction form
    15,960/23,943.86 = 5,016/x
  3. Step 3: Cross multiply
    15,960x = 23,943.86 × 5,016
  4. Step 4: Simplify right side
    15,960x = 120,102,401.76
  5. Step 5: Solve for x
    x = 120,102,401.76/15,960
  6. Step 6: Final answer
    x = 7,525.21

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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.