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Finding the Fourth Proportional to 13,582.46, 18,747.78 and 8,867.46

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Solution

The fourth proportional to 13,582.46, 18,747.78 and 8,867.46 is: 12,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.46 : 18,747.78 = 8,867.46 : x
  2. Step 2: Convert to fraction form
    13,582.46/18,747.78 = 8,867.46/x
  3. Step 3: Cross multiply
    13,582.46x = 18,747.78 × 8,867.46
  4. Step 4: Simplify right side
    13,582.46x = 166,245,189.24
  5. Step 5: Solve for x
    x = 166,245,189.24/13,582.46
  6. Step 6: Final answer
    x = 12,239.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.