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Finding the Fourth Proportional to 29,666.80, 40,943.82 and 17,730.04

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Solution

The fourth proportional to 29,666.80, 40,943.82 and 17,730.04 is: 24,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,666.80 : 40,943.82 = 17,730.04 : x
  2. Step 2: Convert to fraction form
    29,666.80/40,943.82 = 17,730.04/x
  3. Step 3: Cross multiply
    29,666.80x = 40,943.82 × 17,730.04
  4. Step 4: Simplify right side
    29,666.80x = 725,935,566.35
  5. Step 5: Solve for x
    x = 725,935,566.35/29,666.80
  6. Step 6: Final answer
    x = 24,469.63

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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.