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Finding the Fourth Proportional to 13,691.86, 18,894.77 and 7,404.23

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Solution

The fourth proportional to 13,691.86, 18,894.77 and 7,404.23 is: 10,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.86 : 18,894.77 = 7,404.23 : x
  2. Step 2: Convert to fraction form
    13,691.86/18,894.77 = 7,404.23/x
  3. Step 3: Cross multiply
    13,691.86x = 18,894.77 × 7,404.23
  4. Step 4: Simplify right side
    13,691.86x = 139,901,222.88
  5. Step 5: Solve for x
    x = 139,901,222.88/13,691.86
  6. Step 6: Final answer
    x = 10,217.84

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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.