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Finding the Fourth Proportional to 20,864.70, 31,300.97 and 8,385.73

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Solution

The fourth proportional to 20,864.70, 31,300.97 and 8,385.73 is: 12,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864.70 : 31,300.97 = 8,385.73 : x
  2. Step 2: Convert to fraction form
    20,864.70/31,300.97 = 8,385.73/x
  3. Step 3: Cross multiply
    20,864.70x = 31,300.97 × 8,385.73
  4. Step 4: Simplify right side
    20,864.70x = 262,481,483.16
  5. Step 5: Solve for x
    x = 262,481,483.16/20,864.70
  6. Step 6: Final answer
    x = 12,580.17

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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.