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Finding the Fourth Proportional to 12,385.12, 18,553.38 and 7,180.06

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Solution

The fourth proportional to 12,385.12, 18,553.38 and 7,180.06 is: 10,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.12 : 18,553.38 = 7,180.06 : x
  2. Step 2: Convert to fraction form
    12,385.12/18,553.38 = 7,180.06/x
  3. Step 3: Cross multiply
    12,385.12x = 18,553.38 × 7,180.06
  4. Step 4: Simplify right side
    12,385.12x = 133,214,381.60
  5. Step 5: Solve for x
    x = 133,214,381.60/12,385.12
  6. Step 6: Final answer
    x = 10,756.00

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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.