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Finding the Fourth Proportional to 13,847.51, 20,776.46 and 8,304.84

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Solution

The fourth proportional to 13,847.51, 20,776.46 and 8,304.84 is: 12,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.51 : 20,776.46 = 8,304.84 : x
  2. Step 2: Convert to fraction form
    13,847.51/20,776.46 = 8,304.84/x
  3. Step 3: Cross multiply
    13,847.51x = 20,776.46 × 8,304.84
  4. Step 4: Simplify right side
    13,847.51x = 172,545,134.54
  5. Step 5: Solve for x
    x = 172,545,134.54/13,847.51
  6. Step 6: Final answer
    x = 12,460.38

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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.