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Finding the Fourth Proportional to 29,851.14, 41,191.14 and 16,421.14

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Solution

The fourth proportional to 29,851.14, 41,191.14 and 16,421.14 is: 22,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,851.14 : 41,191.14 = 16,421.14 : x
  2. Step 2: Convert to fraction form
    29,851.14/41,191.14 = 16,421.14/x
  3. Step 3: Cross multiply
    29,851.14x = 41,191.14 × 16,421.14
  4. Step 4: Simplify right side
    29,851.14x = 676,405,476.70
  5. Step 5: Solve for x
    x = 676,405,476.70/29,851.14
  6. Step 6: Final answer
    x = 22,659.28

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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.