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Finding the Fourth Proportional to 21,874.50, 30,186.81 and 11,938.50

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Solution

The fourth proportional to 21,874.50, 30,186.81 and 11,938.50 is: 16,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.50 : 30,186.81 = 11,938.50 : x
  2. Step 2: Convert to fraction form
    21,874.50/30,186.81 = 11,938.50/x
  3. Step 3: Cross multiply
    21,874.50x = 30,186.81 × 11,938.50
  4. Step 4: Simplify right side
    21,874.50x = 360,385,231.19
  5. Step 5: Solve for x
    x = 360,385,231.19/21,874.50
  6. Step 6: Final answer
    x = 16,475.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.