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Finding the Fourth Proportional to 23,082.38, 31,842.28 and 14,467

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Solution

The fourth proportional to 23,082.38, 31,842.28 and 14,467 is: 19,957.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.38 : 31,842.28 = 14,467 : x
  2. Step 2: Convert to fraction form
    23,082.38/31,842.28 = 14,467/x
  3. Step 3: Cross multiply
    23,082.38x = 31,842.28 × 14,467
  4. Step 4: Simplify right side
    23,082.38x = 460,662,264.76
  5. Step 5: Solve for x
    x = 460,662,264.76/23,082.38
  6. Step 6: Final answer
    x = 19,957.31

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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.