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Finding the Fourth Proportional to 13,746.38, 20,611.07 and 9,350.51

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Solution

The fourth proportional to 13,746.38, 20,611.07 and 9,350.51 is: 14,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.38 : 20,611.07 = 9,350.51 : x
  2. Step 2: Convert to fraction form
    13,746.38/20,611.07 = 9,350.51/x
  3. Step 3: Cross multiply
    13,746.38x = 20,611.07 × 9,350.51
  4. Step 4: Simplify right side
    13,746.38x = 192,724,020.92
  5. Step 5: Solve for x
    x = 192,724,020.92/13,746.38
  6. Step 6: Final answer
    x = 14,019.98

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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.