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Finding the Fourth Proportional to 21,020.80, 31,498.80 and 18,234.40

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Solution

The fourth proportional to 21,020.80, 31,498.80 and 18,234.40 is: 27,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,020.80 : 31,498.80 = 18,234.40 : x
  2. Step 2: Convert to fraction form
    21,020.80/31,498.80 = 18,234.40/x
  3. Step 3: Cross multiply
    21,020.80x = 31,498.80 × 18,234.40
  4. Step 4: Simplify right side
    21,020.80x = 574,361,718.72
  5. Step 5: Solve for x
    x = 574,361,718.72/21,020.80
  6. Step 6: Final answer
    x = 27,323.49

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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.