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Finding the Fourth Proportional to 14,723.60, 22,096.20 and 9,791.60

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Solution

The fourth proportional to 14,723.60, 22,096.20 and 9,791.60 is: 14,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,723.60 : 22,096.20 = 9,791.60 : x
  2. Step 2: Convert to fraction form
    14,723.60/22,096.20 = 9,791.60/x
  3. Step 3: Cross multiply
    14,723.60x = 22,096.20 × 9,791.60
  4. Step 4: Simplify right side
    14,723.60x = 216,357,151.92
  5. Step 5: Solve for x
    x = 216,357,151.92/14,723.60
  6. Step 6: Final answer
    x = 14,694.58

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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.