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Finding the Fourth Proportional to 29,830.89, 41,167.31 and 16,402.90

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Solution

The fourth proportional to 29,830.89, 41,167.31 and 16,402.90 is: 22,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.89 : 41,167.31 = 16,402.90 : x
  2. Step 2: Convert to fraction form
    29,830.89/41,167.31 = 16,402.90/x
  3. Step 3: Cross multiply
    29,830.89x = 41,167.31 × 16,402.90
  4. Step 4: Simplify right side
    29,830.89x = 675,263,207.29
  5. Step 5: Solve for x
    x = 675,263,207.29/29,830.89
  6. Step 6: Final answer
    x = 22,636.37

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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.