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Finding the Fourth Proportional to 12,782.28, 17,641.64 and 10,685.64

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Solution

The fourth proportional to 12,782.28, 17,641.64 and 10,685.64 is: 14,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.28 : 17,641.64 = 10,685.64 : x
  2. Step 2: Convert to fraction form
    12,782.28/17,641.64 = 10,685.64/x
  3. Step 3: Cross multiply
    12,782.28x = 17,641.64 × 10,685.64
  4. Step 4: Simplify right side
    12,782.28x = 188,512,214.05
  5. Step 5: Solve for x
    x = 188,512,214.05/12,782.28
  6. Step 6: Final answer
    x = 14,747.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.