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Finding the Fourth Proportional to 13,812.83, 20,725.42 and 7,237.50

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Solution

The fourth proportional to 13,812.83, 20,725.42 and 7,237.50 is: 10,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.83 : 20,725.42 = 7,237.50 : x
  2. Step 2: Convert to fraction form
    13,812.83/20,725.42 = 7,237.50/x
  3. Step 3: Cross multiply
    13,812.83x = 20,725.42 × 7,237.50
  4. Step 4: Simplify right side
    13,812.83x = 150,000,261.59
  5. Step 5: Solve for x
    x = 150,000,261.59/13,812.83
  6. Step 6: Final answer
    x = 10,859.49

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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.