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Finding the Fourth Proportional to 19,856.28, 29,783.88 and 9,181.20

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Solution

The fourth proportional to 19,856.28, 29,783.88 and 9,181.20 is: 13,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.28 : 29,783.88 = 9,181.20 : x
  2. Step 2: Convert to fraction form
    19,856.28/29,783.88 = 9,181.20/x
  3. Step 3: Cross multiply
    19,856.28x = 29,783.88 × 9,181.20
  4. Step 4: Simplify right side
    19,856.28x = 273,451,759.06
  5. Step 5: Solve for x
    x = 273,451,759.06/19,856.28
  6. Step 6: Final answer
    x = 13,771.55

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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.