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Finding the Fourth Proportional to 14,708.75, 20,298.20 and 7,994.38

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Solution

The fourth proportional to 14,708.75, 20,298.20 and 7,994.38 is: 11,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,708.75 : 20,298.20 = 7,994.38 : x
  2. Step 2: Convert to fraction form
    14,708.75/20,298.20 = 7,994.38/x
  3. Step 3: Cross multiply
    14,708.75x = 20,298.20 × 7,994.38
  4. Step 4: Simplify right side
    14,708.75x = 162,271,524.12
  5. Step 5: Solve for x
    x = 162,271,524.12/14,708.75
  6. Step 6: Final answer
    x = 11,032.31

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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.