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Finding the Fourth Proportional to 14,680.38, 20,258.97 and 7,966.07

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Solution

The fourth proportional to 14,680.38, 20,258.97 and 7,966.07 is: 10,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680.38 : 20,258.97 = 7,966.07 : x
  2. Step 2: Convert to fraction form
    14,680.38/20,258.97 = 7,966.07/x
  3. Step 3: Cross multiply
    14,680.38x = 20,258.97 × 7,966.07
  4. Step 4: Simplify right side
    14,680.38x = 161,384,317.95
  5. Step 5: Solve for x
    x = 161,384,317.95/14,680.38
  6. Step 6: Final answer
    x = 10,993.19

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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.