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Finding the Fourth Proportional to 14,777.69, 20,389.57 and 9,033.68

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Solution

The fourth proportional to 14,777.69, 20,389.57 and 9,033.68 is: 12,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.69 : 20,389.57 = 9,033.68 : x
  2. Step 2: Convert to fraction form
    14,777.69/20,389.57 = 9,033.68/x
  3. Step 3: Cross multiply
    14,777.69x = 20,389.57 × 9,033.68
  4. Step 4: Simplify right side
    14,777.69x = 184,192,850.72
  5. Step 5: Solve for x
    x = 184,192,850.72/14,777.69
  6. Step 6: Final answer
    x = 12,464.25

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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.