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Finding the Fourth Proportional to 13,812.54, 20,725.94 and 7,575.45

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Solution

The fourth proportional to 13,812.54, 20,725.94 and 7,575.45 is: 11,367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.54 : 20,725.94 = 7,575.45 : x
  2. Step 2: Convert to fraction form
    13,812.54/20,725.94 = 7,575.45/x
  3. Step 3: Cross multiply
    13,812.54x = 20,725.94 × 7,575.45
  4. Step 4: Simplify right side
    13,812.54x = 157,008,322.17
  5. Step 5: Solve for x
    x = 157,008,322.17/13,812.54
  6. Step 6: Final answer
    x = 11,367.09

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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.