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Finding the Fourth Proportional to 19,857.20, 29,744.40 and 9,336.20

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Solution

The fourth proportional to 19,857.20, 29,744.40 and 9,336.20 is: 13,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.20 : 29,744.40 = 9,336.20 : x
  2. Step 2: Convert to fraction form
    19,857.20/29,744.40 = 9,336.20/x
  3. Step 3: Cross multiply
    19,857.20x = 29,744.40 × 9,336.20
  4. Step 4: Simplify right side
    19,857.20x = 277,699,667.28
  5. Step 5: Solve for x
    x = 277,699,667.28/19,857.20
  6. Step 6: Final answer
    x = 13,984.84

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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.