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Finding the Fourth Proportional to 16,161.50, 24,242.25 and 6,927.50

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Solution

The fourth proportional to 16,161.50, 24,242.25 and 6,927.50 is: 10,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.50 : 24,242.25 = 6,927.50 : x
  2. Step 2: Convert to fraction form
    16,161.50/24,242.25 = 6,927.50/x
  3. Step 3: Cross multiply
    16,161.50x = 24,242.25 × 6,927.50
  4. Step 4: Simplify right side
    16,161.50x = 167,938,186.88
  5. Step 5: Solve for x
    x = 167,938,186.88/16,161.50
  6. Step 6: Final answer
    x = 10,391.25

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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.