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Finding the Fourth Proportional to 13,964.20, 20,946.30 and 10,076.20

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Solution

The fourth proportional to 13,964.20, 20,946.30 and 10,076.20 is: 15,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.20 : 20,946.30 = 10,076.20 : x
  2. Step 2: Convert to fraction form
    13,964.20/20,946.30 = 10,076.20/x
  3. Step 3: Cross multiply
    13,964.20x = 20,946.30 × 10,076.20
  4. Step 4: Simplify right side
    13,964.20x = 211,059,108.06
  5. Step 5: Solve for x
    x = 211,059,108.06/13,964.20
  6. Step 6: Final answer
    x = 15,114.30

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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.