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Finding the Fourth Proportional to 29,140.97, 40,214.13 and 16,394.10

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Solution

The fourth proportional to 29,140.97, 40,214.13 and 16,394.10 is: 22,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,140.97 : 40,214.13 = 16,394.10 : x
  2. Step 2: Convert to fraction form
    29,140.97/40,214.13 = 16,394.10/x
  3. Step 3: Cross multiply
    29,140.97x = 40,214.13 × 16,394.10
  4. Step 4: Simplify right side
    29,140.97x = 659,274,468.63
  5. Step 5: Solve for x
    x = 659,274,468.63/29,140.97
  6. Step 6: Final answer
    x = 22,623.63

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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.