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Finding the Fourth Proportional to 13,400.64, 20,092.86 and 6,382.80

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Solution

The fourth proportional to 13,400.64, 20,092.86 and 6,382.80 is: 9,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.64 : 20,092.86 = 6,382.80 : x
  2. Step 2: Convert to fraction form
    13,400.64/20,092.86 = 6,382.80/x
  3. Step 3: Cross multiply
    13,400.64x = 20,092.86 × 6,382.80
  4. Step 4: Simplify right side
    13,400.64x = 128,248,706.81
  5. Step 5: Solve for x
    x = 128,248,706.81/13,400.64
  6. Step 6: Final answer
    x = 9,570.34

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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.