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Finding the Fourth Proportional to 12,234.69, 18,352.44 and 7,501.86

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Solution

The fourth proportional to 12,234.69, 18,352.44 and 7,501.86 is: 11,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.69 : 18,352.44 = 7,501.86 : x
  2. Step 2: Convert to fraction form
    12,234.69/18,352.44 = 7,501.86/x
  3. Step 3: Cross multiply
    12,234.69x = 18,352.44 × 7,501.86
  4. Step 4: Simplify right side
    12,234.69x = 137,677,435.54
  5. Step 5: Solve for x
    x = 137,677,435.54/12,234.69
  6. Step 6: Final answer
    x = 11,253.04

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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.