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Finding the Fourth Proportional to 21,457.94, 29,611.65 and 11,897.85

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Solution

The fourth proportional to 21,457.94, 29,611.65 and 11,897.85 is: 16,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.94 : 29,611.65 = 11,897.85 : x
  2. Step 2: Convert to fraction form
    21,457.94/29,611.65 = 11,897.85/x
  3. Step 3: Cross multiply
    21,457.94x = 29,611.65 × 11,897.85
  4. Step 4: Simplify right side
    21,457.94x = 352,314,842.30
  5. Step 5: Solve for x
    x = 352,314,842.30/21,457.94
  6. Step 6: Final answer
    x = 16,418.86

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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.