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Finding the Fourth Proportional to 13,966.35, 20,947.02 and 3,971.76

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Solution

The fourth proportional to 13,966.35, 20,947.02 and 3,971.76 is: 5,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.35 : 20,947.02 = 3,971.76 : x
  2. Step 2: Convert to fraction form
    13,966.35/20,947.02 = 3,971.76/x
  3. Step 3: Cross multiply
    13,966.35x = 20,947.02 × 3,971.76
  4. Step 4: Simplify right side
    13,966.35x = 83,196,536.16
  5. Step 5: Solve for x
    x = 83,196,536.16/13,966.35
  6. Step 6: Final answer
    x = 5,956.93

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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.