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Finding the Fourth Proportional to 12,285.86, 18,431.90 and 5,262.36

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Solution

The fourth proportional to 12,285.86, 18,431.90 and 5,262.36 is: 7,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.86 : 18,431.90 = 5,262.36 : x
  2. Step 2: Convert to fraction form
    12,285.86/18,431.90 = 5,262.36/x
  3. Step 3: Cross multiply
    12,285.86x = 18,431.90 × 5,262.36
  4. Step 4: Simplify right side
    12,285.86x = 96,995,293.28
  5. Step 5: Solve for x
    x = 96,995,293.28/12,285.86
  6. Step 6: Final answer
    x = 7,894.87

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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.