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Finding the Fourth Proportional to 20,287.23, 30,430.84 and 8,440.77

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Solution

The fourth proportional to 20,287.23, 30,430.84 and 8,440.77 is: 12,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,287.23 : 30,430.84 = 8,440.77 : x
  2. Step 2: Convert to fraction form
    20,287.23/30,430.84 = 8,440.77/x
  3. Step 3: Cross multiply
    20,287.23x = 30,430.84 × 8,440.77
  4. Step 4: Simplify right side
    20,287.23x = 256,859,721.35
  5. Step 5: Solve for x
    x = 256,859,721.35/20,287.23
  6. Step 6: Final answer
    x = 12,661.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.