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Finding the Fourth Proportional to 13,663.92, 18,860.46 and 9,187.86

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Solution

The fourth proportional to 13,663.92, 18,860.46 and 9,187.86 is: 12,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.92 : 18,860.46 = 9,187.86 : x
  2. Step 2: Convert to fraction form
    13,663.92/18,860.46 = 9,187.86/x
  3. Step 3: Cross multiply
    13,663.92x = 18,860.46 × 9,187.86
  4. Step 4: Simplify right side
    13,663.92x = 173,287,266.02
  5. Step 5: Solve for x
    x = 173,287,266.02/13,663.92
  6. Step 6: Final answer
    x = 12,682.10

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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.