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Finding the Fourth Proportional to 21,458.31, 29,614.22 and 11,899.15

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Solution

The fourth proportional to 21,458.31, 29,614.22 and 11,899.15 is: 16,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.31 : 29,614.22 = 11,899.15 : x
  2. Step 2: Convert to fraction form
    21,458.31/29,614.22 = 11,899.15/x
  3. Step 3: Cross multiply
    21,458.31x = 29,614.22 × 11,899.15
  4. Step 4: Simplify right side
    21,458.31x = 352,384,045.91
  5. Step 5: Solve for x
    x = 352,384,045.91/21,458.31
  6. Step 6: Final answer
    x = 16,421.80

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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.