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Finding the Fourth Proportional to 13,012.28, 19,522.94 and 9,457.73

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Solution

The fourth proportional to 13,012.28, 19,522.94 and 9,457.73 is: 14,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.28 : 19,522.94 = 9,457.73 : x
  2. Step 2: Convert to fraction form
    13,012.28/19,522.94 = 9,457.73/x
  3. Step 3: Cross multiply
    13,012.28x = 19,522.94 × 9,457.73
  4. Step 4: Simplify right side
    13,012.28x = 184,642,550.42
  5. Step 5: Solve for x
    x = 184,642,550.42/13,012.28
  6. Step 6: Final answer
    x = 14,189.87

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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.