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Finding the Fourth Proportional to 13,980.20, 20,951.66 and 5,206.28

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Solution

The fourth proportional to 13,980.20, 20,951.66 and 5,206.28 is: 7,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.20 : 20,951.66 = 5,206.28 : x
  2. Step 2: Convert to fraction form
    13,980.20/20,951.66 = 5,206.28/x
  3. Step 3: Cross multiply
    13,980.20x = 20,951.66 × 5,206.28
  4. Step 4: Simplify right side
    13,980.20x = 109,080,208.42
  5. Step 5: Solve for x
    x = 109,080,208.42/13,980.20
  6. Step 6: Final answer
    x = 7,802.48

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