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Finding the Fourth Proportional to 13,532.46, 18,674.73 and 7,564.11

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Solution

The fourth proportional to 13,532.46, 18,674.73 and 7,564.11 is: 10,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.46 : 18,674.73 = 7,564.11 : x
  2. Step 2: Convert to fraction form
    13,532.46/18,674.73 = 7,564.11/x
  3. Step 3: Cross multiply
    13,532.46x = 18,674.73 × 7,564.11
  4. Step 4: Simplify right side
    13,532.46x = 141,257,711.94
  5. Step 5: Solve for x
    x = 141,257,711.94/13,532.46
  6. Step 6: Final answer
    x = 10,438.44

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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.