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Finding the Fourth Proportional to 14,696.64, 20,273.76 and 9,097.92

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Solution

The fourth proportional to 14,696.64, 20,273.76 and 9,097.92 is: 12,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.64 : 20,273.76 = 9,097.92 : x
  2. Step 2: Convert to fraction form
    14,696.64/20,273.76 = 9,097.92/x
  3. Step 3: Cross multiply
    14,696.64x = 20,273.76 × 9,097.92
  4. Step 4: Simplify right side
    14,696.64x = 184,449,046.58
  5. Step 5: Solve for x
    x = 184,449,046.58/14,696.64
  6. Step 6: Final answer
    x = 12,550.42

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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.