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Finding the Fourth Proportional to 14,908.47, 20,573.74 and 8,194.78

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Solution

The fourth proportional to 14,908.47, 20,573.74 and 8,194.78 is: 11,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,908.47 : 20,573.74 = 8,194.78 : x
  2. Step 2: Convert to fraction form
    14,908.47/20,573.74 = 8,194.78/x
  3. Step 3: Cross multiply
    14,908.47x = 20,573.74 × 8,194.78
  4. Step 4: Simplify right side
    14,908.47x = 168,597,273.08
  5. Step 5: Solve for x
    x = 168,597,273.08/14,908.47
  6. Step 6: Final answer
    x = 11,308.82

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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.