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Finding the Fourth Proportional to 23,084.38, 31,845.04 and 14,469

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Solution

The fourth proportional to 23,084.38, 31,845.04 and 14,469 is: 19,960.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,084.38 : 31,845.04 = 14,469 : x
  2. Step 2: Convert to fraction form
    23,084.38/31,845.04 = 14,469/x
  3. Step 3: Cross multiply
    23,084.38x = 31,845.04 × 14,469
  4. Step 4: Simplify right side
    23,084.38x = 460,765,883.76
  5. Step 5: Solve for x
    x = 460,765,883.76/23,084.38
  6. Step 6: Final answer
    x = 19,960.07

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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.