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Finding the Fourth Proportional to 13,875.02, 20,850.20 and 7,304.30

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Solution

The fourth proportional to 13,875.02, 20,850.20 and 7,304.30 is: 10,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.02 : 20,850.20 = 7,304.30 : x
  2. Step 2: Convert to fraction form
    13,875.02/20,850.20 = 7,304.30/x
  3. Step 3: Cross multiply
    13,875.02x = 20,850.20 × 7,304.30
  4. Step 4: Simplify right side
    13,875.02x = 152,296,115.86
  5. Step 5: Solve for x
    x = 152,296,115.86/13,875.02
  6. Step 6: Final answer
    x = 10,976.28

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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.