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Finding the Fourth Proportional to 18,303.86, 27,456.96 and 6,456.18

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Solution

The fourth proportional to 18,303.86, 27,456.96 and 6,456.18 is: 9,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,303.86 : 27,456.96 = 6,456.18 : x
  2. Step 2: Convert to fraction form
    18,303.86/27,456.96 = 6,456.18/x
  3. Step 3: Cross multiply
    18,303.86x = 27,456.96 × 6,456.18
  4. Step 4: Simplify right side
    18,303.86x = 177,267,076.01
  5. Step 5: Solve for x
    x = 177,267,076.01/18,303.86
  6. Step 6: Final answer
    x = 9,684.68

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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.