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Finding the Fourth Proportional to 13,970, 20,956.26 and 3,581.84

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Solution

The fourth proportional to 13,970, 20,956.26 and 3,581.84 is: 5,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970 : 20,956.26 = 3,581.84 : x
  2. Step 2: Convert to fraction form
    13,970/20,956.26 = 3,581.84/x
  3. Step 3: Cross multiply
    13,970x = 20,956.26 × 3,581.84
  4. Step 4: Simplify right side
    13,970x = 75,061,970.32
  5. Step 5: Solve for x
    x = 75,061,970.32/13,970
  6. Step 6: Final answer
    x = 5,373.08

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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.