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Finding the Fourth Proportional to 14,784.60, 22,183.82 and 6,463.54

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Solution

The fourth proportional to 14,784.60, 22,183.82 and 6,463.54 is: 9,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.60 : 22,183.82 = 6,463.54 : x
  2. Step 2: Convert to fraction form
    14,784.60/22,183.82 = 6,463.54/x
  3. Step 3: Cross multiply
    14,784.60x = 22,183.82 × 6,463.54
  4. Step 4: Simplify right side
    14,784.60x = 143,386,007.92
  5. Step 5: Solve for x
    x = 143,386,007.92/14,784.60
  6. Step 6: Final answer
    x = 9,698.34

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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.