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Finding the Fourth Proportional to 18,203.19, 27,311.46 and 7,675.86

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Solution

The fourth proportional to 18,203.19, 27,311.46 and 7,675.86 is: 11,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,203.19 : 27,311.46 = 7,675.86 : x
  2. Step 2: Convert to fraction form
    18,203.19/27,311.46 = 7,675.86/x
  3. Step 3: Cross multiply
    18,203.19x = 27,311.46 × 7,675.86
  4. Step 4: Simplify right side
    18,203.19x = 209,638,943.36
  5. Step 5: Solve for x
    x = 209,638,943.36/18,203.19
  6. Step 6: Final answer
    x = 11,516.60

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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.