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Finding the Fourth Proportional to 14,680.37, 20,258.30 and 7,965.74

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Solution

The fourth proportional to 14,680.37, 20,258.30 and 7,965.74 is: 10,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680.37 : 20,258.30 = 7,965.74 : x
  2. Step 2: Convert to fraction form
    14,680.37/20,258.30 = 7,965.74/x
  3. Step 3: Cross multiply
    14,680.37x = 20,258.30 × 7,965.74
  4. Step 4: Simplify right side
    14,680.37x = 161,372,209.52
  5. Step 5: Solve for x
    x = 161,372,209.52/14,680.37
  6. Step 6: Final answer
    x = 10,992.38

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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.