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Finding the Fourth Proportional to 21,633.86, 29,854.77 and 11,697.86

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Solution

The fourth proportional to 21,633.86, 29,854.77 and 11,697.86 is: 16,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.86 : 29,854.77 = 11,697.86 : x
  2. Step 2: Convert to fraction form
    21,633.86/29,854.77 = 11,697.86/x
  3. Step 3: Cross multiply
    21,633.86x = 29,854.77 × 11,697.86
  4. Step 4: Simplify right side
    21,633.86x = 349,236,919.79
  5. Step 5: Solve for x
    x = 349,236,919.79/21,633.86
  6. Step 6: Final answer
    x = 16,143.07

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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.