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Finding the Fourth Proportional to 12,297.93, 18,457.88 and 5,727.81

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Solution

The fourth proportional to 12,297.93, 18,457.88 and 5,727.81 is: 8,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.93 : 18,457.88 = 5,727.81 : x
  2. Step 2: Convert to fraction form
    12,297.93/18,457.88 = 5,727.81/x
  3. Step 3: Cross multiply
    12,297.93x = 18,457.88 × 5,727.81
  4. Step 4: Simplify right side
    12,297.93x = 105,723,270.22
  5. Step 5: Solve for x
    x = 105,723,270.22/12,297.93
  6. Step 6: Final answer
    x = 8,596.84

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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.