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Finding the Fourth Proportional to 13,532.44, 18,674.72 and 7,564.12

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Solution

The fourth proportional to 13,532.44, 18,674.72 and 7,564.12 is: 10,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.44 : 18,674.72 = 7,564.12 : x
  2. Step 2: Convert to fraction form
    13,532.44/18,674.72 = 7,564.12/x
  3. Step 3: Cross multiply
    13,532.44x = 18,674.72 × 7,564.12
  4. Step 4: Simplify right side
    13,532.44x = 141,257,823.05
  5. Step 5: Solve for x
    x = 141,257,823.05/13,532.44
  6. Step 6: Final answer
    x = 10,438.46

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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.