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Finding the Fourth Proportional to 21,633.75, 29,854.58 and 11,697.75

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Solution

The fourth proportional to 21,633.75, 29,854.58 and 11,697.75 is: 16,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.75 : 29,854.58 = 11,697.75 : x
  2. Step 2: Convert to fraction form
    21,633.75/29,854.58 = 11,697.75/x
  3. Step 3: Cross multiply
    21,633.75x = 29,854.58 × 11,697.75
  4. Step 4: Simplify right side
    21,633.75x = 349,231,354.71
  5. Step 5: Solve for x
    x = 349,231,354.71/21,633.75
  6. Step 6: Final answer
    x = 16,142.90

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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.