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Finding the Fourth Proportional to 13,972.10, 20,958.15 and 5,205.20

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Solution

The fourth proportional to 13,972.10, 20,958.15 and 5,205.20 is: 7,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.10 : 20,958.15 = 5,205.20 : x
  2. Step 2: Convert to fraction form
    13,972.10/20,958.15 = 5,205.20/x
  3. Step 3: Cross multiply
    13,972.10x = 20,958.15 × 5,205.20
  4. Step 4: Simplify right side
    13,972.10x = 109,091,362.38
  5. Step 5: Solve for x
    x = 109,091,362.38/13,972.10
  6. Step 6: Final answer
    x = 7,807.80

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.