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Finding the Fourth Proportional to 13,989.77, 20,971.46 and 6,963.14

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Solution

The fourth proportional to 13,989.77, 20,971.46 and 6,963.14 is: 10,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989.77 : 20,971.46 = 6,963.14 : x
  2. Step 2: Convert to fraction form
    13,989.77/20,971.46 = 6,963.14/x
  3. Step 3: Cross multiply
    13,989.77x = 20,971.46 × 6,963.14
  4. Step 4: Simplify right side
    13,989.77x = 146,027,242.50
  5. Step 5: Solve for x
    x = 146,027,242.50/13,989.77
  6. Step 6: Final answer
    x = 10,438.14

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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.