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Finding the Fourth Proportional to 13,564.05, 20,329.06 and 7,323.81

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Solution

The fourth proportional to 13,564.05, 20,329.06 and 7,323.81 is: 10,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.05 : 20,329.06 = 7,323.81 : x
  2. Step 2: Convert to fraction form
    13,564.05/20,329.06 = 7,323.81/x
  3. Step 3: Cross multiply
    13,564.05x = 20,329.06 × 7,323.81
  4. Step 4: Simplify right side
    13,564.05x = 148,886,172.92
  5. Step 5: Solve for x
    x = 148,886,172.92/13,564.05
  6. Step 6: Final answer
    x = 10,976.53

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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.