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Finding the Fourth Proportional to 14,678.97, 20,273.80 and 9,665.60

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Solution

The fourth proportional to 14,678.97, 20,273.80 and 9,665.60 is: 13,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.97 : 20,273.80 = 9,665.60 : x
  2. Step 2: Convert to fraction form
    14,678.97/20,273.80 = 9,665.60/x
  3. Step 3: Cross multiply
    14,678.97x = 20,273.80 × 9,665.60
  4. Step 4: Simplify right side
    14,678.97x = 195,958,366.43
  5. Step 5: Solve for x
    x = 195,958,366.43/14,678.97
  6. Step 6: Final answer
    x = 13,349.60

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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.