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Finding the Fourth Proportional to 29,986.31, 41,384.76 and 17,411.06

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Solution

The fourth proportional to 29,986.31, 41,384.76 and 17,411.06 is: 24,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,986.31 : 41,384.76 = 17,411.06 : x
  2. Step 2: Convert to fraction form
    29,986.31/41,384.76 = 17,411.06/x
  3. Step 3: Cross multiply
    29,986.31x = 41,384.76 × 17,411.06
  4. Step 4: Simplify right side
    29,986.31x = 720,552,577.62
  5. Step 5: Solve for x
    x = 720,552,577.62/29,986.31
  6. Step 6: Final answer
    x = 24,029.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.