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Finding the Fourth Proportional to 13,532.14, 18,674.69 and 7,564.81

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Solution

The fourth proportional to 13,532.14, 18,674.69 and 7,564.81 is: 10,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.14 : 18,674.69 = 7,564.81 : x
  2. Step 2: Convert to fraction form
    13,532.14/18,674.69 = 7,564.81/x
  3. Step 3: Cross multiply
    13,532.14x = 18,674.69 × 7,564.81
  4. Step 4: Simplify right side
    13,532.14x = 141,270,388.29
  5. Step 5: Solve for x
    x = 141,270,388.29/13,532.14
  6. Step 6: Final answer
    x = 10,439.62

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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.