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Finding the Fourth Proportional to 23,821.80, 32,874.02 and 13,211.16

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Solution

The fourth proportional to 23,821.80, 32,874.02 and 13,211.16 is: 18,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.80 : 32,874.02 = 13,211.16 : x
  2. Step 2: Convert to fraction form
    23,821.80/32,874.02 = 13,211.16/x
  3. Step 3: Cross multiply
    23,821.80x = 32,874.02 × 13,211.16
  4. Step 4: Simplify right side
    23,821.80x = 434,303,938.06
  5. Step 5: Solve for x
    x = 434,303,938.06/23,821.80
  6. Step 6: Final answer
    x = 18,231.37

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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.