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Finding the Fourth Proportional to 13,842.32, 20,763.22 and 3,981.64

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Solution

The fourth proportional to 13,842.32, 20,763.22 and 3,981.64 is: 5,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.32 : 20,763.22 = 3,981.64 : x
  2. Step 2: Convert to fraction form
    13,842.32/20,763.22 = 3,981.64/x
  3. Step 3: Cross multiply
    13,842.32x = 20,763.22 × 3,981.64
  4. Step 4: Simplify right side
    13,842.32x = 82,671,667.28
  5. Step 5: Solve for x
    x = 82,671,667.28/13,842.32
  6. Step 6: Final answer
    x = 5,972.39

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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.