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Finding the Fourth Proportional to 12,262.96, 18,379.86 and 4,462.72

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Solution

The fourth proportional to 12,262.96, 18,379.86 and 4,462.72 is: 6,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.96 : 18,379.86 = 4,462.72 : x
  2. Step 2: Convert to fraction form
    12,262.96/18,379.86 = 4,462.72/x
  3. Step 3: Cross multiply
    12,262.96x = 18,379.86 × 4,462.72
  4. Step 4: Simplify right side
    12,262.96x = 82,024,168.82
  5. Step 5: Solve for x
    x = 82,024,168.82/12,262.96
  6. Step 6: Final answer
    x = 6,688.77

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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.