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Finding the Fourth Proportional to 29,838.74, 41,178.52 and 16,411

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Solution

The fourth proportional to 29,838.74, 41,178.52 and 16,411 is: 22,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.74 : 41,178.52 = 16,411 : x
  2. Step 2: Convert to fraction form
    29,838.74/41,178.52 = 16,411/x
  3. Step 3: Cross multiply
    29,838.74x = 41,178.52 × 16,411
  4. Step 4: Simplify right side
    29,838.74x = 675,780,691.72
  5. Step 5: Solve for x
    x = 675,780,691.72/29,838.74
  6. Step 6: Final answer
    x = 22,647.76

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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.