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Finding the Fourth Proportional to 19,163.46, 28,691.84 and 9,783.20

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Solution

The fourth proportional to 19,163.46, 28,691.84 and 9,783.20 is: 14,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,163.46 : 28,691.84 = 9,783.20 : x
  2. Step 2: Convert to fraction form
    19,163.46/28,691.84 = 9,783.20/x
  3. Step 3: Cross multiply
    19,163.46x = 28,691.84 × 9,783.20
  4. Step 4: Simplify right side
    19,163.46x = 280,698,009.09
  5. Step 5: Solve for x
    x = 280,698,009.09/19,163.46
  6. Step 6: Final answer
    x = 14,647.56

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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.