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Finding the Fourth Proportional to 18,403.68, 27,582.38 and 9,969.86

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Solution

The fourth proportional to 18,403.68, 27,582.38 and 9,969.86 is: 14,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,403.68 : 27,582.38 = 9,969.86 : x
  2. Step 2: Convert to fraction form
    18,403.68/27,582.38 = 9,969.86/x
  3. Step 3: Cross multiply
    18,403.68x = 27,582.38 × 9,969.86
  4. Step 4: Simplify right side
    18,403.68x = 274,992,467.07
  5. Step 5: Solve for x
    x = 274,992,467.07/18,403.68
  6. Step 6: Final answer
    x = 14,942.25

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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.