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Finding the Fourth Proportional to 18,506.34, 27,761.22 and 6,025.86

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Solution

The fourth proportional to 18,506.34, 27,761.22 and 6,025.86 is: 9,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.34 : 27,761.22 = 6,025.86 : x
  2. Step 2: Convert to fraction form
    18,506.34/27,761.22 = 6,025.86/x
  3. Step 3: Cross multiply
    18,506.34x = 27,761.22 × 6,025.86
  4. Step 4: Simplify right side
    18,506.34x = 167,285,225.15
  5. Step 5: Solve for x
    x = 167,285,225.15/18,506.34
  6. Step 6: Final answer
    x = 9,039.35

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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.