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Finding the Fourth Proportional to 13,762.24, 18,991.87 and 7,474.57

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Solution

The fourth proportional to 13,762.24, 18,991.87 and 7,474.57 is: 10,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.24 : 18,991.87 = 7,474.57 : x
  2. Step 2: Convert to fraction form
    13,762.24/18,991.87 = 7,474.57/x
  3. Step 3: Cross multiply
    13,762.24x = 18,991.87 × 7,474.57
  4. Step 4: Simplify right side
    13,762.24x = 141,956,061.75
  5. Step 5: Solve for x
    x = 141,956,061.75/13,762.24
  6. Step 6: Final answer
    x = 10,314.90

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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.