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Finding the Fourth Proportional to 20,448.96, 30,667.48 and 7,966.18

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Solution

The fourth proportional to 20,448.96, 30,667.48 and 7,966.18 is: 11,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.96 : 30,667.48 = 7,966.18 : x
  2. Step 2: Convert to fraction form
    20,448.96/30,667.48 = 7,966.18/x
  3. Step 3: Cross multiply
    20,448.96x = 30,667.48 × 7,966.18
  4. Step 4: Simplify right side
    20,448.96x = 244,302,684.25
  5. Step 5: Solve for x
    x = 244,302,684.25/20,448.96
  6. Step 6: Final answer
    x = 11,946.95

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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.