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Finding the Fourth Proportional to 15,975.52, 23,984.52 and 10,361

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Solution

The fourth proportional to 15,975.52, 23,984.52 and 10,361 is: 15,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975.52 : 23,984.52 = 10,361 : x
  2. Step 2: Convert to fraction form
    15,975.52/23,984.52 = 10,361/x
  3. Step 3: Cross multiply
    15,975.52x = 23,984.52 × 10,361
  4. Step 4: Simplify right side
    15,975.52x = 248,503,611.72
  5. Step 5: Solve for x
    x = 248,503,611.72/15,975.52
  6. Step 6: Final answer
    x = 15,555.28

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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.